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58037747064 = 233114329317449
BaseRepresentation
bin110110000011010100…
…011011110101111000
312112210202021000202120
4312003110123311320
51422330130401224
642355010201240
74123141465443
oct660324336570
9175722230676
1058037747064
1122682882420
12b2b8883220
13561c06b08b
142b4802265a
15179a349779
hexd8351bd78

58037747064 has 128 divisors (see below), whose sum is σ = 162527904000. Its totient is φ = 17118581760.

The previous prime is 58037747051. The next prime is 58037747081. The reversal of 58037747064 is 46074773085.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 58037746998 and 58037747016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3317412 + ... + 3334860.

It is an arithmetic number, because the mean of its divisors is an integer number (1269749250).

Almost surely, 258037747064 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 58037747064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81263952000).

58037747064 is an abundant number, since it is smaller than the sum of its proper divisors (104490156936).

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

58037747064 is a wasteful number, since it uses less digits than its factorization.

58037747064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17805 (or 17801 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 58037747064 in words is "fifty-eight billion, thirty-seven million, seven hundred forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 293 344 473 516 586 879 946 1032 1172 1419 1758 1892 2344 2838 3223 3516 3784 5676 6446 7032 9669 11352 12599 12892 17449 19338 25198 25784 34898 37797 38676 50396 52347 69796 75594 77352 100792 104694 138589 139592 151188 191939 209388 277178 302376 383878 415767 418776 554356 575817 750307 767756 831534 1108712 1151634 1500614 1535512 1663068 2250921 2303268 3001228 3326136 4501842 4606536 5112557 6002456 8253377 9003684 10225114 15337671 16506754 18007368 20450228 24760131 30675342 33013508 40900456 49520262 56238127 61350684 66027016 99040524 112476254 122701368 168714381 198081048 219839951 224952508 337428762 439679902 449905016 659519853 674857524 879359804 1319039706 1349715048 1758719608 2418239461 2638079412 4836478922 5276158824 7254718383 9672957844 14509436766 19345915688 29018873532 58037747064