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63145021104 = 243211371077413
BaseRepresentation
bin111010110011101111…
…001000111010110000
320000222200111102122100
4322303233020322300
52013310111133404
645001452540400
74363535552304
oct726357107260
9200880442570
1063145021104
1124863799a60
12102a3181700
135c541b9319
1430b0449d04
1519988e0d39
hexeb3bc8eb0

63145021104 has 120 divisors (see below), whose sum is σ = 197994215952. Its totient is φ = 18617679360.

The previous prime is 63145021087. The next prime is 63145021111. The reversal of 63145021104 is 40112054136.

It is a happy number.

63145021104 is a `hidden beast` number, since 631 + 4 + 5 + 0 + 21 + 1 + 0 + 4 = 666.

It is a super-3 number, since 3×631450211043 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480099 + ... + 597314.

Almost surely, 263145021104 is an apocalyptic number.

It is an amenable number.

63145021104 is an abundant number, since it is smaller than the sum of its proper divisors (134849194848).

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

63145021104 is a wasteful number, since it uses less digits than its factorization.

63145021104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077475 (or 1077466 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 63145021104 in words is "sixty-three billion, one hundred forty-five million, twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3663 4884 5328 6512 7326 9768 14652 19536 29304 58608 1077413 2154826 3232239 4309652 6464478 8619304 9696717 11851543 12928956 17238608 19393434 23703086 25857912 35554629 38786868 39864281 47406172 51715824 71109258 77573736 79728562 94812344 106663887 119592843 142218516 155147472 159457124 189624688 213327774 239185686 284437032 318914248 358778529 426655548 438507091 478371372 568874064 637828496 717557058 853311096 877014182 956742744 1315521273 1435114116 1706622192 1754028364 1913485488 2631042546 2870228232 3508056728 3946563819 5262085092 5740456464 7016113456 7893127638 10524170184 15786255276 21048340368 31572510552 63145021104