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253969606408 = 2372838539151
BaseRepresentation
bin1110110010000111000…
…1001010011100001000
3220021112120121202101211
43230201301022130020
513130112204401113
6312401054022504
724230414015200
oct3544161123410
9807476552354
10253969606408
1198787249301
1241279aa7a34
131ac455cb41b
14c413ad3400
156916588b3d
hex3b21c4a708

253969606408 has 96 divisors (see below), whose sum is σ = 561331330560. Its totient is φ = 107394940800.

The previous prime is 253969606379. The next prime is 253969606417. The reversal of 253969606408 is 804606969352.

It is a super-3 number, since 3×2539696064083 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27748633 + ... + 27757783.

It is an arithmetic number, because the mean of its divisors is an integer number (5847201360).

Almost surely, 2253969606408 is an apocalyptic number.

253969606408 is a gapful number since it is divisible by the number (28) 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 253969606408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280665665280).

253969606408 is an abundant number, since it is smaller than the sum of its proper divisors (307361724152).

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

253969606408 is a wasteful number, since it uses less digits than its factorization.

253969606408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10107 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 253969606408 in words is "two hundred fifty-three billion, nine hundred sixty-nine million, six hundred six thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 83 98 166 196 332 392 581 664 853 1162 1706 2324 3412 4067 4648 5971 6824 8134 9151 11942 16268 18302 23884 32536 36604 41797 47768 64057 70799 73208 83594 128114 141598 167188 256228 283196 334376 448399 495593 512456 566392 759533 896798 991186 1519066 1793596 1982372 3038132 3469151 3587192 3964744 5316731 6076264 6938302 7805803 10633462 13876604 15611606 21266924 27753208 31223212 37217117 42533848 54640621 62446424 74434234 109281242 148868468 218562484 297736936 382484347 437124968 647881649 764968694 1295763298 1529937388 2591526596 3059874776 4535171543 5183053192 9070343086 18140686172 31746200801 36281372344 63492401602 126984803204 253969606408