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58725757088 = 253766175037
BaseRepresentation
bin110110101100010100…
…111111000010100000
312121120200212120002022
4312230110333002200
51430232243211323
642551144441012
74146164461535
oct665424770240
9177520776068
1058725757088
11229a6182549
12b46b179168
1356cb76cbbb
142bb1558d8c
1517da94e4c8
hexdac53f0a0

58725757088 has 48 divisors (see below), whose sum is σ = 118922323464. Its totient is φ = 28525685760.

The previous prime is 58725757087. The next prime is 58725757163. The reversal of 58725757088 is 88075752785.

It can be written as a sum of positive squares in 4 ways, for example, as 53940991504 + 4784765584 = 232252^2 + 69172^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 58725757088.

It is not an unprimeable number, because it can be changed into a prime (58725757087) by changing a digit.

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, 745106 + ... + 820142.

Almost surely, 258725757088 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 58725757088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59461161732).

58725757088 is an abundant number, since it is smaller than the sum of its proper divisors (60196566376).

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

58725757088 is a wasteful number, since it uses less digits than its factorization.

58725757088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75745 (or 75737 counting only the distinct ones).

The product of its (nonzero) digits is 43904000, while the sum is 62.

The spelling of 58725757088 in words is "fifty-eight billion, seven hundred twenty-five million, seven hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 661 1184 1322 2644 5288 10576 21152 24457 48914 75037 97828 150074 195656 300148 391312 600296 782624 1200592 2401184 2776369 5552738 11105476 22210952 44421904 49599457 88843808 99198914 198397828 396795656 793591312 1587182624 1835179909 3670359818 7340719636 14681439272 29362878544 58725757088