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57424606208 = 210375328597
BaseRepresentation
bin110101011110110001…
…011111010000000000
312111020000112020121222
4311132301133100000
51420101144344313
642214104334212
74102015045664
oct653661372000
9174200466558
1057424606208
1122398769642
12b167474368
135552021138
142aca8188a4
1517615d3208
hexd5ec5f400

57424606208 has 88 divisors (see below), whose sum is σ = 120124297512. Its totient is φ = 27408236544.

The previous prime is 57424606199. The next prime is 57424606219. The reversal of 57424606208 is 80260642475.

It can be written as a sum of positive squares in 4 ways, for example, as 45229379584 + 12195226624 = 212672^2 + 110432^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1993766 + ... + 2022362.

Almost surely, 257424606208 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 57424606208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60062148756).

57424606208 is an abundant number, since it is smaller than the sum of its proper divisors (62699691304).

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

57424606208 is a wasteful number, since it uses less digits than its factorization.

57424606208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28707 (or 28689 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 57424606208 in words is "fifty-seven billion, four hundred twenty-four million, six hundred six thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 128 148 212 256 296 424 512 592 848 1024 1184 1696 1961 2368 3392 3922 4736 6784 7844 9472 13568 15688 18944 27136 28597 31376 37888 54272 57194 62752 114388 125504 228776 251008 457552 502016 915104 1004032 1058089 1515641 1830208 2008064 2116178 3031282 3660416 4232356 6062564 7320832 8464712 12125128 14641664 16929424 24250256 29283328 33858848 48500512 56078717 67717696 97001024 112157434 135435392 194002048 224314868 270870784 388004096 448629736 541741568 776008192 897259472 1083483136 1552016384 1794518944 3589037888 7178075776 14356151552 28712303104 57424606208