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58658235272 = 23713294396329
BaseRepresentation
bin110110101000010011…
…011010001110001000
312121101222211002120022
4312220103122032020
51430113002012042
642540333320012
74144414526120
oct665023321610
9177358732508
1058658235272
112297105439a
12b450636008
1356ba78b370
142ba65bdc80
1517d4a62cd2
hexda84da388

58658235272 has 128 divisors (see below), whose sum is σ = 140374080000. Its totient is φ = 22350698496.

The previous prime is 58658235211. The next prime is 58658235287. The reversal of 58658235272 is 27253285685.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9265004 + ... + 9271332.

It is an arithmetic number, because the mean of its divisors is an integer number (1096672500).

Almost surely, 258658235272 is an apocalyptic number.

58658235272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58658235272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70187040000).

58658235272 is an abundant number, since it is smaller than the sum of its proper divisors (81715844728).

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

58658235272 is a wasteful number, since it uses less digits than its factorization.

58658235272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6819 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 53.

The spelling of 58658235272 in words is "fifty-eight billion, six hundred fifty-eight million, two hundred thirty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 439 728 754 812 878 1508 1624 1756 2639 3016 3073 3512 5278 5707 6146 6329 10556 11414 12292 12658 12731 21112 22828 24584 25316 25462 39949 44303 45656 50632 50924 79898 82277 88606 89117 101848 159796 164554 165503 177212 178234 183541 319592 329108 331006 354424 356468 367082 575939 658216 662012 712936 734164 1151878 1158521 1284787 1324024 1468328 2303756 2317042 2386033 2569574 2778431 4607512 4634084 4772066 5139148 5556862 9268168 9544132 10278296 11113724 16702231 19088264 19449017 22227448 33404462 36119603 38898034 66808924 72239206 77796068 80574499 133617848 144478412 155592136 161148998 252837221 288956824 322297996 505674442 564021493 644595992 1011348884 1047468487 1128042986 2022697768 2094936974 2256085972 4189873948 4512171944 7332279409 8379747896 14664558818 29329117636 58658235272