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106035385392 = 2434411995547
BaseRepresentation
bin110001011000000110…
…0111001010000110000
3101010200210021200120000
41202300030321100300
53214130024313032
6120413442150000
710442440622166
oct1426014712060
9333623250500
10106035385392
1140a73235512
1218673052300
139ccb0177c1
1451bc841236
152b59011e7c
hex18b0339430

106035385392 has 100 divisors (see below), whose sum is σ = 314382623016. Its totient is φ = 34483034880.

The previous prime is 106035385367. The next prime is 106035385493. The reversal of 106035385392 is 293583530601.

It is a happy number.

106035385392 is a `hidden beast` number, since 1 + 0 + 60 + 3 + 53 + 8 + 539 + 2 = 666.

It is a super-2 number, since 2×1060353853922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 944638 + ... + 1050909.

Almost surely, 2106035385392 is an apocalyptic number.

106035385392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106035385392 is an abundant number, since it is smaller than the sum of its proper divisors (208347237624).

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

106035385392 is a wasteful number, since it uses less digits than its factorization.

106035385392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995608 (or 1995593 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 106035385392 in words is "one hundred six billion, thirty-five million, three hundred eighty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2214 2952 3321 4428 5904 6642 8856 13284 17712 26568 53136 1995547 3991094 5986641 7982188 11973282 15964376 17959923 23946564 31928752 35919846 47893128 53879769 71839692 81817427 95786256 107759538 143679384 161639307 163634854 215519076 245452281 287358768 323278614 327269708 431038152 490904562 646557228 654539416 736356843 862076304 981809124 1293114456 1309078832 1472713686 1963618248 2209070529 2586228912 2945427372 3927236496 4418141058 5890854744 6627211587 8836282116 11781709488 13254423174 17672564232 26508846348 35345128464 53017692696 106035385392