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245661602201344 = 2871767120358163
BaseRepresentation
bin110111110110110110001100…
…100010001011111100000000
31012012211000112102221022121001
4313312312030202023330000
5224144404430130420334
62230251214305341344
7102513315341145250
oct6766661442137400
91165730472838531
10245661602201344
117130355607007a
1223676a45637854
13a70ca35c2bcc4
1444941292c7960
151d6034e584714
hexdf6d8c88bf00

245661602201344 has 144 divisors (see below), whose sum is σ = 602237589504768. Its totient is φ = 97611432247296.

The previous prime is 245661602201341. The next prime is 245661602201347. The reversal of 245661602201344 is 443102206166542.

245661602201344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245661602201341) and next prime (245661602201347).

It is a super-2 number, since 2×2456616022013442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245661602201294 and 245661602201303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245661602201341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58137994 + ... + 62220169.

It is an arithmetic number, because the mean of its divisors is an integer number (4182205482672).

Almost surely, 2245661602201344 is an apocalyptic number.

It is an amenable number.

245661602201344 is an abundant number, since it is smaller than the sum of its proper divisors (356575987303424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245661602201344 is a wasteful number, since it uses less digits than its factorization.

245661602201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120358270 (or 120358256 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

Adding to 245661602201344 its reverse (443102206166542), we get a palindrome (688763808367886).

The spelling of 245661602201344 in words is "two hundred forty-five trillion, six hundred sixty-one billion, six hundred two million, two hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 67 68 112 119 128 134 136 224 238 256 268 272 448 469 476 536 544 896 938 952 1072 1088 1139 1792 1876 1904 2144 2176 2278 3752 3808 4288 4352 4556 7504 7616 7973 8576 9112 15008 15232 15946 17152 18224 30016 30464 31892 36448 60032 63784 72896 120064 127568 145792 255136 291584 510272 1020544 2041088 120358163 240716326 481432652 842507141 962865304 1685014282 1925730608 2046088771 3370028564 3851461216 4092177542 6740057128 7702922432 8063996921 8184355084 13480114256 14322621397 15405844864 16127993842 16368710168 26960228512 28645242794 30811689728 32255987684 32737420336 53920457024 56447978447 57290485588 64511975368 65474840672 107840914048 112895956894 114580971176 129023950736 130949681344 137087947657 215681828096 225791913788 229161942352 258047901472 261899362688 274175895314 451583827576 458323884704 516095802944 523798725376 548351790628 903167655152 916647769408 959615633599 1032191605888 1096703581256 1806335310304 1833295538816 1919231267198 2064383211776 2193407162512 3612670620608 3666591077632 3838462534396 4386814325024 7225341241216 7676925068792 8773628650048 14450682482432 15353850137584 17547257300096 30707700275168 35094514600192 61415400550336 122830801100672 245661602201344