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38104070111472 = 24319211597189617
BaseRepresentation
bin10001010100111110010111…
…00100000100000011110000
311222220201021011100120220110
420222133023210010003300
514443244113422031342
6213012433530541320
711011633243640241
oct1052371344040360
9158821234316813
1038104070111472
1111160933230382
1243349a7b97840
131835276b41a11
1495a365450cc8
1546129344cc9c
hex22a7cb9040f0

38104070111472 has 120 divisors (see below), whose sum is σ = 103898511761616. Its totient is φ = 12031763208192.

The previous prime is 38104070111461. The next prime is 38104070111539. The reversal of 38104070111472 is 27411107040183.

It is a self number, because there is not a number n which added to its sum of digits gives 38104070111472.

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 23 ways as a sum of consecutive naturals, for example, 200858008 + ... + 201047624.

Almost surely, 238104070111472 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 38104070111472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51949255880808).

38104070111472 is an abundant number, since it is smaller than the sum of its proper divisors (65794441650144).

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

38104070111472 is a wasteful number, since it uses less digits than its factorization.

38104070111472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201263 (or 201238 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 38104070111472 in words is "thirty-eight trillion, one hundred four billion, seventy million, one hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2888 4332 5776 8664 11597 17328 23194 34791 46388 69582 92776 139164 185552 189617 220343 278328 379234 440686 556656 568851 661029 758468 881372 1137702 1322058 1516936 1762744 2275404 2644116 3033872 3525488 3602723 4186517 4550808 5288232 7205446 8373034 9101616 10576464 10808169 12559551 14410892 16746068 21616338 25119102 28821784 33492136 43232676 50238204 57643568 66984272 68451737 86465352 100476408 136903474 172930704 200952816 205355211 273806948 410710422 547613896 821420844 1095227792 1642841688 2198988349 3285683376 4397976698 6596965047 8795953396 13193930094 17591906792 26387860188 35183813584 41780778631 52775720376 83561557262 105551440752 125342335893 167123114524 250684671786 334246229048 501369343572 668492458096 793834793989 1002738687144 1587669587978 2005477374288 2381504381967 3175339175956 4763008763934 6350678351912 9526017527868 12701356703824 19052035055736 38104070111472