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57410929408 = 287271118219
BaseRepresentation
bin110101011101111101…
…010100001100000000
312111012001210101120211
4311131331110030000
51420034144220113
642212455243504
74101460563640
oct653575241400
9174161711524
1057410929408
1122390a77aa8
12b162979594
13554c242b61
142ac8a98520
1517602d0b3d
hexd5df54300

57410929408 has 72 divisors (see below), whose sum is σ = 131453073920. Its totient is φ = 24513684480.

The previous prime is 57410929361. The next prime is 57410929451. The reversal of 57410929408 is 80492901475.

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, 426523 + ... + 544741.

Almost surely, 257410929408 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 57410929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65726536960).

57410929408 is an abundant number, since it is smaller than the sum of its proper divisors (74042144512).

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

57410929408 is a wasteful number, since it uses less digits than its factorization.

57410929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118513 (or 118499 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 57410929408 in words is "fifty-seven billion, four hundred ten million, nine hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 271 448 542 896 1084 1792 1897 2168 3794 4336 7588 8672 15176 17344 30352 34688 60704 69376 118219 121408 236438 242816 472876 485632 827533 945752 1655066 1891504 3310132 3783008 6620264 7566016 13240528 15132032 26481056 30264064 32037349 52962112 64074698 105924224 128149396 211848448 224261443 256298792 448522886 512597584 897045772 1025195168 1794091544 2050390336 3588183088 4100780672 7176366176 8201561344 14352732352 28705464704 57410929408