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57426336256 = 294318114411
BaseRepresentation
bin110101011110111000…
…000101101000000000
312111020010210010210211
4311132320011220000
51420102120230011
642214205403504
74102035542602
oct653670055000
9174203703724
1057426336256
1122399740433
12b167b69594
1355524a8733
142acab49172
151761825b21
hexd5ee05a00

57426336256 has 80 divisors (see below), whose sum is σ = 118065755808. Its totient is φ = 27888537600.

The previous prime is 57426336173. The next prime is 57426336257. The reversal of 57426336256 is 65263362475.

It is not an unprimeable number, because it can be changed into a prime (57426336257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3977691 + ... + 3992101.

Almost surely, 257426336256 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 57426336256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59032877904).

57426336256 is an abundant number, since it is smaller than the sum of its proper divisors (60639419552).

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

57426336256 is a wasteful number, since it uses less digits than its factorization.

57426336256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14653 (or 14637 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 49.

The spelling of 57426336256 in words is "fifty-seven billion, four hundred twenty-six million, three hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 181 256 344 362 512 688 724 1376 1448 2752 2896 5504 5792 7783 11008 11584 14411 15566 22016 23168 28822 31132 46336 57644 62264 92672 115288 124528 230576 249056 461152 498112 619673 922304 996224 1239346 1844608 1992448 2478692 2608391 3689216 3984896 4957384 5216782 7378432 9914768 10433564 19829536 20867128 39659072 41734256 79318144 83468512 112160813 158636288 166937024 224321626 317272576 333874048 448643252 667748096 897286504 1335496192 1794573008 3589146016 7178292032 14356584064 28713168128 57426336256