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245312405252320 = 2557487449751403
BaseRepresentation
bin110111110001110000111110…
…110001100010100011100000
31012011120122012022021100001211
4313301300332301202203200
5224123144301221033240
62225422544015035504
7102446144042101420
oct6761607661424340
91164518168240054
10245312405252320
117118945253591a
122361b23020bb94
13a6b5b25841193
144481280376480
151d56212cabbea
hexdf1c3ec628e0

245312405252320 has 96 divisors (see below), whose sum is σ = 663703543899648. Its totient is φ = 83934405646848.

The previous prime is 245312405252309. The next prime is 245312405252329. The reversal of 245312405252320 is 23252504213542.

245312405252320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245312405252329) 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, 224330262 + ... + 225421141.

It is an arithmetic number, because the mean of its divisors is an integer number (6913578582288).

Almost surely, 2245312405252320 is an apocalyptic number.

245312405252320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245312405252320 is an abundant number, since it is smaller than the sum of its proper divisors (418391138647328).

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

245312405252320 is a wasteful number, since it uses less digits than its factorization.

245312405252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449751912 (or 449751904 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 245312405252320 its reverse (23252504213542), we get a palindrome (268564909465862).

The spelling of 245312405252320 in words is "two hundred forty-five trillion, three hundred twelve billion, four hundred five million, two hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 487 560 974 1120 1948 2435 3409 3896 4870 6818 7792 9740 13636 15584 17045 19480 27272 34090 38960 54544 68180 77920 109088 136360 272720 545440 449751403 899502806 1799005612 2248757015 3148259821 3598011224 4497514030 6296519642 7196022448 8995028060 12593039284 14392044896 15741299105 17990056120 25186078568 31482598210 35980112240 50372157136 62965196420 71960224480 100744314272 125930392840 219028933261 251860785680 438057866522 503721571360 876115733044 1095144666305 1533202532827 1752231466088 2190289332610 3066405065654 3504462932176 4380578665220 6132810131308 7008925864352 7666012664135 8761157330440 12265620262616 15332025328270 17522314660880 24531240525232 30664050656540 35044629321760 49062481050464 61328101313080 122656202626160 245312405252320