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52757604032 = 2674322312281
BaseRepresentation
bin110001001000100110…
…010010011011000000
312001011202201222012112
4301020212102123000
51331021421312112
640123030314452
73545245143440
oct611046223300
9161152658175
1052757604032
1120413323851
12a2844b8a28
134c8a1749a3
1427a6a7a120
15158ba07a22
hexc489926c0

52757604032 has 112 divisors (see below), whose sum is σ = 122988214272. Its totient is φ = 21983754240.

The previous prime is 52757604017. The next prime is 52757604037. The reversal of 52757604032 is 23040675725.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (52757604037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4289732 + ... + 4302012.

It is an arithmetic number, because the mean of its divisors is an integer number (1098109056).

Almost surely, 252757604032 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 52757604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61494107136).

52757604032 is an abundant number, since it is smaller than the sum of its proper divisors (70230610240).

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

52757604032 is a wasteful number, since it uses less digits than its factorization.

52757604032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 52757604032 in words is "fifty-two billion, seven hundred fifty-seven million, six hundred four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 223 224 301 344 446 448 602 688 892 1204 1376 1561 1784 2408 2752 3122 3568 4816 6244 7136 9589 9632 12281 12488 14272 19178 19264 24562 24976 38356 49124 49952 67123 76712 85967 98248 99904 134246 153424 171934 196496 268492 306848 343868 392992 528083 536984 613696 687736 785984 1056166 1073968 1375472 2112332 2147936 2738663 2750944 3696581 4224664 4295872 5477326 5501888 7393162 8449328 10954652 14786324 16898656 19170641 21909304 29572648 33797312 38341282 43818608 59145296 76682564 87637216 117762509 118290592 153365128 175274432 235525018 236581184 306730256 471050036 613460512 824337563 942100072 1226921024 1648675126 1884200144 3297350252 3768400288 6594700504 7536800576 13189401008 26378802016 52757604032