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58423271328 = 2533257263111
BaseRepresentation
bin110110011010010011…
…000101111110100000
312120210121200200122000
4312122103011332200
51424122324140303
642501141244000
74135532420052
oct663223057640
9176717620560
1058423271328
1122860460514
12b3a5a03600
135680bb1846
142b832d98d2
1517be0edda3
hexd9a4c5fa0

58423271328 has 96 divisors (see below), whose sum is σ = 171064897920. Its totient is φ = 19398574080.

The previous prime is 58423271299. The next prime is 58423271329. The reversal of 58423271328 is 82317232485.

58423271328 is a `hidden beast` number, since 58 + 4 + 2 + 3 + 271 + 328 = 666.

58423271328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (58423271329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90493 + ... + 353603.

It is an arithmetic number, because the mean of its divisors is an integer number (1781926020).

Almost surely, 258423271328 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 58423271328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85532448960).

58423271328 is an abundant number, since it is smaller than the sum of its proper divisors (112641626592).

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

58423271328 is a wasteful number, since it uses less digits than its factorization.

58423271328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263387 (or 263373 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 58423271328 in words is "fifty-eight billion, four hundred twenty-three million, two hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 257 288 432 514 771 864 1028 1542 2056 2313 3084 4112 4626 6168 6939 8224 9252 12336 13878 18504 24672 27756 37008 55512 74016 111024 222048 263111 526222 789333 1052444 1578666 2104888 2367999 3157332 4209776 4735998 6314664 7103997 8419552 9471996 12629328 14207994 18943992 25258656 28415988 37887984 56831976 67619527 75775968 113663952 135239054 202858581 227327904 270478108 405717162 540956216 608575743 811434324 1081912432 1217151486 1622868648 1825727229 2163824864 2434302972 3245737296 3651454458 4868605944 6491474592 7302908916 9737211888 14605817832 19474423776 29211635664 58423271328