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379271725568 = 2917216012
BaseRepresentation
bin1011000010011100101…
…10110100001000000000
31100020222002122221000222
411201032112310020000
522203222030204233
6450122433202212
736254464322021
oct5411626641000
91306862587028
10379271725568
11136937001a8a
1261609400368
13299c41048b8
14144dd2a2c48
159cebc72898
hex584e5b4200

379271725568 has 90 divisors (see below), whose sum is σ = 805504594983. Its totient is φ = 178369331200.

The previous prime is 379271725537. The next prime is 379271725603. The reversal of 379271725568 is 865527172973.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 356877201664 + 22394523904 = 597392^2 + 149648^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=435472.

It is a Duffinian number.

Its product of digits (44452800) is a multiple of the sum of its prime divisors (1620).

It is a self number, because there is not a number n which added to its sum of digits gives 379271725568.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 236895968 + ... + 236897568.

Almost surely, 2379271725568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379271725568

379271725568 is an abundant number, since it is smaller than the sum of its proper divisors (426232869415).

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

379271725568 is an frugal number, since it uses more digits than its factorization.

379271725568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 1620 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 62.

The spelling of 379271725568 in words is "three hundred seventy-nine billion, two hundred seventy-one million, seven hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1088 1156 1601 2176 2312 3202 4352 4624 6404 8704 9248 12808 18496 25616 27217 36992 51232 54434 73984 102464 108868 147968 204928 217736 409856 435472 462689 819712 870944 925378 1741888 1850756 2563201 3483776 3701512 5126402 6967552 7403024 10252804 13935104 14806048 20505608 29612096 41011216 43574417 59224192 82022432 87148834 118448384 164044864 174297668 236896768 328089728 348595336 656179456 697190672 740765089 1312358912 1394381344 1481530178 2788762688 2963060356 5577525376 5926120712 11155050752 11852241424 22310101504 23704482848 47408965696 94817931392 189635862784 379271725568