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56457731328 = 2834310911567
BaseRepresentation
bin110100100101001001…
…001001110100000000
312101201122011220122020
4310211021021310000
51411111134400303
641534125041440
74036034540535
oct644511116400
9171648156566
1056457731328
1121a41a10199
12ab376b6280
13542991151b
142a38250d8c
151706796a53
hexd25249d00

56457731328 has 144 divisors (see below), whose sum is σ = 153993455616. Its totient is φ = 18353018880.

The previous prime is 56457731261. The next prime is 56457731329. The reversal of 56457731328 is 82313775465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56457731329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36028401 + ... + 36029967.

Almost surely, 256457731328 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 56457731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76996727808).

56457731328 is an abundant number, since it is smaller than the sum of its proper divisors (97535724288).

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

56457731328 is a wasteful number, since it uses less digits than its factorization.

56457731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2706 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The spelling of 56457731328 in words is "fifty-six billion, four hundred fifty-seven million, seven hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1091 1376 1567 2064 2182 2752 3134 3273 4128 4364 4701 5504 6268 6546 8256 8728 9402 11008 12536 13092 16512 17456 18804 25072 26184 33024 34912 37608 46913 50144 52368 67381 69824 75216 93826 100288 104736 134762 139648 140739 150432 187652 200576 202143 209472 269524 279296 281478 300864 375304 401152 404286 418944 539048 562956 601728 750608 808572 837888 1078096 1125912 1203456 1501216 1617144 1709597 2156192 2251824 3002432 3234288 3419194 4312384 4503648 5128791 6004864 6468576 6838388 8624768 9007296 10257582 12009728 12937152 13676776 17249536 18014592 20515164 25874304 27353552 36029184 41030328 51748608 54707104 73512671 82060656 109414208 147025342 164121312 218828416 220538013 294050684 328242624 437656832 441076026 588101368 656485248 882152052 1176202736 1312970496 1764304104 2352405472 3528608208 4704810944 7057216416 9409621888 14114432832 18819243776 28228865664 56457731328