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57422538272 = 2511238512
BaseRepresentation
bin110101011110101001…
…100110011000100000
312111012212122011221202
4311132221212120200
51420100132211042
642213552140332
74101661344011
oct653651463040
9174185564852
1057422538272
1122397586a00
12b1668376a8
135551778ac8
142aca43b008
151761325632
hexd5ea66620

57422538272 has 54 divisors (see below), whose sum is σ = 124294530087. Its totient is φ = 26094376000.

The previous prime is 57422538269. The next prime is 57422538289. The reversal of 57422538272 is 27283522475.

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 only one way, i.e., 28711269136 + 28711269136 = 169444^2 + 169444^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=169444.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 14909147 + ... + 14912997.

Almost surely, 257422538272 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 57422538272

57422538272 is an abundant number, since it is smaller than the sum of its proper divisors (66871991815).

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

57422538272 is an frugal number, since it uses more digits than its factorization.

57422538272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 3864 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 47.

The spelling of 57422538272 in words is "fifty-seven billion, four hundred twenty-two million, five hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3851 3872 7702 15404 30808 42361 61616 84722 123232 169444 338888 465971 677776 931942 1355552 1863884 3727768 7455536 14830201 14911072 29660402 59320804 118641608 163132211 237283216 326264422 474566432 652528844 1305057688 1794454321 2610115376 3588908642 5220230752 7177817284 14355634568 28711269136 57422538272