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201245653336 = 2371317157103573
BaseRepresentation
bin1011101101101100101…
…1001111100101011000
3201020110011012102122011
42323123023033211120
511244122341401321
6232241224435304
720353024554250
oct2733313174530
9636404172564
10201245653336
1178390a19a72
1233004918b34
1315c92409460
149a516d6960
15537c9cbae1
hex2edb2cf958

201245653336 has 128 divisors (see below), whose sum is σ = 494868286080. Its totient is φ = 74452525056.

The previous prime is 201245653333. The next prime is 201245653337. The reversal of 201245653336 is 633356542102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201245653333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1891246 + ... + 1994818.

It is an arithmetic number, because the mean of its divisors is an integer number (3866158485).

Almost surely, 2201245653336 is an apocalyptic number.

201245653336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201245653336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247434143040).

201245653336 is an abundant number, since it is smaller than the sum of its proper divisors (293622632744).

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

201245653336 is a wasteful number, since it uses less digits than its factorization.

201245653336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103773 (or 103769 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 201245653336 in words is "two hundred one billion, two hundred forty-five million, six hundred fifty-three thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 157 182 221 238 314 364 442 476 628 728 884 952 1099 1256 1547 1768 2041 2198 2669 3094 4082 4396 5338 6188 8164 8792 10676 12376 14287 16328 18683 21352 28574 34697 37366 57148 69394 74732 103573 114296 138788 149464 207146 242879 277576 414292 485758 725011 828584 971516 1346449 1450022 1760741 1943032 2692898 2900044 3521482 5385796 5800088 7042964 9425143 10771592 12325187 14085928 16260961 18850286 22889633 24650374 32521922 37700572 45779266 49300748 65043844 75401144 91558532 98601496 113826727 130087688 160227431 183117064 211392493 227653454 276436337 320454862 422784986 455306908 552872674 640909724 845569972 910613816 1105745348 1281819448 1479747451 1691139944 1935054359 2211490696 2959494902 3593672381 3870108718 5918989804 7187344762 7740217436 11837979608 14374689524 15480434872 25155706667 28749379048 50311413334 100622826668 201245653336