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92083133138058 = 232174116345028471
BaseRepresentation
bin10100111011111111000110…
…011100001100010010001010
3110002001001122212121002211200
4110323333012130030102022
544032142224040404213
6523502223554205030
725252533611140626
oct2473770634142212
9402031585532750
1092083133138058
1127382268066017
12a3b23b2b83776
133c4c52c81504a
1418a4bc1490186
15a9a460e1a273
hex53bfc670c48a

92083133138058 has 96 divisors (see below), whose sum is σ = 217729592825472. Its totient is φ = 28011310617600.

The previous prime is 92083133138057. The next prime is 92083133138081. The reversal of 92083133138058 is 85083133138029.

92083133138058 is a `hidden beast` number, since 9 + 2 + 0 + 8 + 313 + 313 + 8 + 0 + 5 + 8 = 666.

It is a super-3 number, since 3×920831331380583 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 92083133137995 and 92083133138013.

It is not an unprimeable number, because it can be changed into a prime (92083133138057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20469238 + ... + 24559233.

It is an arithmetic number, because the mean of its divisors is an integer number (2268016591932).

Almost surely, 292083133138058 is an apocalyptic number.

92083133138058 is an abundant number, since it is smaller than the sum of its proper divisors (125646459687414).

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

92083133138058 is a wasteful number, since it uses less digits than its factorization.

92083133138058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45028700 (or 45028697 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 92083133138058 in words is "ninety-two trillion, eighty-three billion, one hundred thirty-three million, one hundred thirty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 163 246 306 326 369 489 697 738 978 1394 1467 2091 2771 2934 4182 5542 6273 6683 8313 12546 13366 16626 20049 24939 40098 49878 60147 113611 120294 227222 340833 681666 1022499 2044998 45028471 90056942 135085413 270170826 405256239 765484007 810512478 1530968014 1846167311 2296452021 3692334622 4592904042 5538501933 6889356063 7339640773 11077003866 13778712126 14679281546 16615505799 22018922319 31384844287 33231011598 44037844638 62769688574 66056766957 94154532861 124773893141 132113533914 188309065722 249547786282 282463598583 300925271693 374321679423 564927197166 601850543386 748643358846 902775815079 1122965038269 1805551630158 2245930076538 2708327445237 5115729618781 5416654890474 10231459237562 15347188856343 30694377712686 46041566569029 92083133138058