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58107354272 = 2511569290119
BaseRepresentation
bin110110000111011101…
…111101110010100000
312112222121020102220022
4312013131331302200
51423000440314042
642405534133012
74124645235062
oct660735756240
9175877212808
1058107354272
11227090a5340
12b318051168
1356305ccb86
142b53381732
1517a14e8cd2
hexd8777dca0

58107354272 has 48 divisors (see below), whose sum is σ = 125018510400. Its totient is φ = 26365923840.

The previous prime is 58107354251. The next prime is 58107354299. The reversal of 58107354272 is 27245370185.

It is a super-3 number, since 3×581073542723 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55229 + ... + 345347.

It is an arithmetic number, because the mean of its divisors is an integer number (2604552300).

Almost surely, 258107354272 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 58107354272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62509255200).

58107354272 is an abundant number, since it is smaller than the sum of its proper divisors (66911156128).

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

58107354272 is a wasteful number, since it uses less digits than its factorization.

58107354272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290709 (or 290701 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 58107354272 in words is "fifty-eight billion, one hundred seven million, three hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 569 1138 2276 4552 6259 9104 12518 18208 25036 50072 100144 200288 290119 580238 1160476 2320952 3191309 4641904 6382618 9283808 12765236 25530472 51060944 102121888 165077711 330155422 660310844 1320621688 1815854821 2641243376 3631709642 5282486752 7263419284 14526838568 29053677136 58107354272