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58113780624 = 2432200892
BaseRepresentation
bin110110000111110110…
…011110101110010000
312120000001022221012100
4312013312132232100
51423004111434444
642410324000400
74125053661564
oct660766365620
9176001287170
1058113780624
1122711794579
12b31a230100
135631a3cc53
142b541756a4
1517a1d67e69
hexd87d9eb90

58113780624 has 45 divisors (see below), whose sum is σ = 162645968433. Its totient is φ = 19370295936.

The previous prime is 58113780617. The next prime is 58113780701. The reversal of 58113780624 is 42608731185.

The square root of 58113780624 is 241068.

It is a perfect power (a square), and thus also a powerful number.

58113780624 is a `hidden beast` number, since 5 + 8 + 1 + 13 + 7 + 8 + 0 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7650651024 + 50463129600 = 87468^2 + 224640^2 .

It is a super-2 number, since 2×581137806242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58113780624.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2882772 + ... + 2902860.

Almost surely, 258113780624 is an apocalyptic number.

58113780624 is the 241068-th square number.

It is an amenable number.

58113780624 is an abundant number, since it is smaller than the sum of its proper divisors (104532187809).

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

58113780624 is an frugal number, since it uses more digits than its factorization.

58113780624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40192 (or 20094 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 58113780624 in words is "fifty-eight billion, one hundred thirteen million, seven hundred eighty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 20089 40178 60267 80356 120534 160712 180801 241068 321424 361602 482136 723204 964272 1446408 2892816 403567921 807135842 1210703763 1614271684 2421407526 3228543368 3632111289 4842815052 6457086736 7264222578 9685630104 14528445156 19371260208 29056890312 58113780624