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58172052096 = 2733142911779
BaseRepresentation
bin110110001011010100…
…110001001010000000
312120011002222102122000
4312023110301022000
51423114021131341
642420204544000
74126362166344
oct661324611200
9176132872560
1058172052096
1122741674814
12b335852000
135640b33202
142b5bbc3624
1517a70288b6
hexd8b531280

58172052096 has 128 divisors (see below), whose sum is σ = 171823080000. Its totient is φ = 19375469568.

The previous prime is 58172052053. The next prime is 58172052097. The reversal of 58172052096 is 69025027185.

58172052096 is a `hidden beast` number, since 5 + 8 + 17 + 20 + 520 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (58172052097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4932735 + ... + 4944513.

Almost surely, 258172052096 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 58172052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85911540000).

58172052096 is an abundant number, since it is smaller than the sum of its proper divisors (113651027904).

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

58172052096 is a wasteful number, since it uses less digits than its factorization.

58172052096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13231 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 58172052096 in words is "fifty-eight billion, one hundred seventy-two million, fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1429 1728 2858 3456 4287 5716 8574 11432 11779 12861 17148 22864 23558 25722 34296 35337 38583 45728 47116 51444 68592 70674 77166 91456 94232 102888 106011 137184 141348 154332 182912 188464 205776 212022 274368 282696 308664 318033 376928 411552 424044 548736 565392 617328 636066 753856 823104 848088 1130784 1234656 1272132 1507712 1646208 1696176 2261568 2469312 2544264 3392352 4523136 4938624 5088528 6784704 10177056 13569408 16832191 20354112 33664382 40708224 50496573 67328764 100993146 134657528 151489719 201986292 269315056 302979438 403972584 454469157 538630112 605958876 807945168 908938314 1077260224 1211917752 1615890336 1817876628 2154520448 2423835504 3231780672 3635753256 4847671008 6463561344 7271506512 9695342016 14543013024 19390684032 29086026048 58172052096