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104652216037120 = 2852324114750053
BaseRepresentation
bin10111110010111000111110…
…001010010110111100000000
3111201112122122212112210202211
4113302320332022112330000
5102204110214301141440
61010324321521551504
731020605321040643
oct2762707612267400
9451478585483684
10104652216037120
1130388834747924
12b8a23734a5594
13465187a79695b
141bbb2a1179a5a
15c1739e7c5eea
hex5f2e3e296f00

104652216037120 has 144 divisors (see below), whose sum is σ = 262659049595712. Its totient is φ = 39874700574720.

The previous prime is 104652216037079. The next prime is 104652216037133. The reversal of 104652216037120 is 21730612256401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279987 + ... + 14470066.

It is an arithmetic number, because the mean of its divisors is an integer number (1824021177748).

Almost surely, 2104652216037120 is an apocalyptic number.

104652216037120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104652216037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131329524797856).

104652216037120 is an abundant number, since it is smaller than the sum of its proper divisors (158006833558592).

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

104652216037120 is a wasteful number, since it uses less digits than its factorization.

104652216037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14750338 (or 14750324 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 104652216037120 in words is "one hundred four trillion, six hundred fifty-two billion, two hundred sixteen million, thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 241 256 320 368 460 482 640 736 920 964 1205 1280 1472 1840 1928 2410 2944 3680 3856 4820 5543 5888 7360 7712 9640 11086 14720 15424 19280 22172 27715 29440 30848 38560 44344 55430 61696 77120 88688 110860 154240 177376 221720 308480 354752 443440 709504 886880 1419008 1773760 3547520 7095040 14750053 29500106 59000212 73750265 118000424 147500530 236000848 295001060 339251219 472001696 590002120 678502438 944003392 1180004240 1357004876 1696256095 1888006784 2360008480 2714009752 3392512190 3554762773 3776013568 4720016960 5428019504 6785024380 7109525546 9440033920 10856039008 13570048760 14219051092 17773813865 18880067840 21712078016 27140097520 28438102184 35547627730 43424156032 54280195040 56876204368 71095255460 81759543779 86848312064 108560390080 113752408736 142190510920 163519087558 217120780160 227504817472 284381021840 327038175116 408797718895 434241560320 455009634944 568762043680 654076350232 817595437790 910019269888 1137524087360 1308152700464 1635190875580 2275048174720 2616305400928 3270381751160 4550096349440 5232610801856 6540763502320 10465221603712 13081527004640 20930443207424 26163054009280 52326108018560 104652216037120