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58138336512 = 2832191328087
BaseRepresentation
bin110110001001010100…
…001001110100000000
312120001202112111112200
4312021110021310000
51423031403232022
642413002153200
74125502464234
oct661124116400
9176052474480
1058138336512
11227246367a3
12b3264b2800
135636b59c69
142b575285c4
1517a40b8bac
hexd89509d00

58138336512 has 108 divisors (see below), whose sum is σ = 176449771680. Its totient is φ = 18359460864.

The previous prime is 58138336483. The next prime is 58138336519. The reversal of 58138336512 is 21563383185.

58138336512 is a `hidden beast` number, since 58 + 1 + 3 + 83 + 3 + 6 + 512 = 666.

It is a super-2 number, since 2×581383365122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58138336519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620268 + ... + 707819.

Almost surely, 258138336512 is an apocalyptic number.

It is an amenable number.

58138336512 is an abundant number, since it is smaller than the sum of its proper divisors (118311435168).

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

58138336512 is a wasteful number, since it uses less digits than its factorization.

58138336512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328128 (or 1328111 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 58138336512 in words is "fifty-eight billion, one hundred thirty-eight million, three hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 1328087 2656174 3984261 5312348 7968522 10624696 11952783 15937044 21249392 23905566 25233653 31874088 42498784 47811132 50467306 63748176 75700959 84997568 95622264 100934612 127496352 151401918 169995136 191244528 201869224 227102877 254992704 302803836 339990272 382489056 403738448 454205754 509985408 605607672 764978112 807476896 908411508 1019970816 1211215344 1529956224 1614953792 1816823016 2422430688 3059912448 3229907584 3633646032 4844861376 6459815168 7267292064 9689722752 14534584128 19379445504 29069168256 58138336512