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57869101968 = 24383109713241
BaseRepresentation
bin110101111001010001…
…000110101110010000
312112100222220222011220
4311321101012232100
51422003442230333
642330143405040
74116023151666
oct657121065620
9175328828156
1057869101968
11225a6665907
12b2702b3780
1355c3141692
142b2d882c36
15178a6358b3
hexd79446b90

57869101968 has 80 divisors (see below), whose sum is σ = 151445681856. Its totient is φ = 19038484480.

The previous prime is 57869101943. The next prime is 57869101973. The reversal of 57869101968 is 86910196875.

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 15 ways as a sum of consecutive naturals, for example, 4363828 + ... + 4377068.

Almost surely, 257869101968 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 57869101968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75722840928).

57869101968 is an abundant number, since it is smaller than the sum of its proper divisors (93576579888).

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

57869101968 is a wasteful number, since it uses less digits than its factorization.

57869101968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14432 (or 14426 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 57869101968 in words is "fifty-seven billion, eight hundred sixty-nine million, one hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1097 1328 1992 2194 3291 3984 4388 6582 8776 13164 13241 17552 26328 26482 39723 52656 52964 79446 91051 105928 158892 182102 211856 273153 317784 364204 546306 635568 728408 1092612 1099003 1456816 2185224 2198006 3297009 4370448 4396012 6594018 8792024 13188036 14525377 17584048 26376072 29050754 43576131 52752144 58101508 87152262 116203016 174304524 232406032 348609048 697218096 1205606291 2411212582 3616818873 4822425164 7233637746 9644850328 14467275492 19289700656 28934550984 57869101968