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38388084375114 = 2343747787717299
BaseRepresentation
bin10001011101001111011000…
…01000011111111001001010
312000220212100121022001220000
420232213230020133321022
520012422244100000424
6213351124214143430
711041306342230345
oct1056475410377112
9160825317261800
1038388084375114
1111260327944311
12437ba4b951b76
131855c99b3c816
14969dc949545c
154688674d23c9
hex22e9ec21fe4a

38388084375114 has 160 divisors (see below), whose sum is σ = 90238847212800. Its totient is φ = 12183040628352.

The previous prime is 38388084375107. The next prime is 38388084375127. The reversal of 38388084375114 is 41157348088383.

It is a happy number.

38388084375114 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 8 + 0 + 84 + 37 + 511 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2219084037 + ... + 2219101335.

It is an arithmetic number, because the mean of its divisors is an integer number (563992795080).

Almost surely, 238388084375114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38388084375114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45119423606400).

38388084375114 is an abundant number, since it is smaller than the sum of its proper divisors (51850762837686).

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

38388084375114 is a wasteful number, since it uses less digits than its factorization.

38388084375114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25274 (or 25265 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 38388084375114 in words is "thirty-eight trillion, three hundred eighty-eight billion, eighty-four million, three hundred seventy-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 47 54 74 81 94 111 141 162 222 282 333 423 666 846 999 1269 1739 1998 2538 2997 3478 3807 5217 5994 7614 7877 10434 15651 15754 17299 23631 31302 34598 46953 47262 51897 70893 93906 103794 140859 141786 155691 212679 281718 291449 311382 370219 425358 467073 582898 638037 640063 740438 813053 874347 934146 1110657 1276074 1280126 1401219 1626106 1748694 1920189 2221314 2439159 2623041 2802438 3331971 3840378 4878318 5246082 5760567 6663942 7317477 7869123 9995913 11521134 13698103 14634954 15738246 17281701 19991826 21952431 23607369 27396206 29987739 30082961 34563402 41094309 43904862 47214738 51845103 59975478 60165922 65857293 82188618 90248883 103690206 123282927 131714586 136264223 180497766 246565854 270746649 272528446 369848781 408792669 541493298 739697562 812239947 817585338 1109546343 1226378007 1624479894 2219092686 2436719841 2452756014 3679134021 4873439682 5041776251 6404418481 7358268042 10083552502 11037402063 12808836962 15125328753 19213255443 22074804126 30250657506 38426510886 45375986259 57639766329 90751972518 115279532658 136127958777 172919298987 236963483797 272255917554 345838597974 408383876331 473926967594 518757896961 710890451391 816767752662 1037515793922 1421780902782 2132671354173 4265342708346 6398014062519 12796028125038 19194042187557 38388084375114