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106912624410 = 23351572522119
BaseRepresentation
bin110001110010001111…
…1010010111100011010
3101012221220222001021000
41203210133102330122
53222424112440120
6121040500325430
710503252212304
oct1434437227432
9335856861230
10106912624410
1141383431139
12188789a3876
13a10a9a2147
145263154974
152bab044990
hex18e47d2f1a

106912624410 has 64 divisors (see below), whose sum is σ = 286916371200. Its totient is φ = 28328429376.

The previous prime is 106912624397. The next prime is 106912624439. The reversal of 106912624410 is 14426219601.

106912624410 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 12 + 624 + 4 + 10 = 666.

It is a super-2 number, since 2×1069126244102 (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 31 ways as a sum of consecutive naturals, for example, 1218670 + ... + 1303449.

It is an arithmetic number, because the mean of its divisors is an integer number (4483068300).

Almost surely, 2106912624410 is an apocalyptic number.

106912624410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106912624410 is an abundant number, since it is smaller than the sum of its proper divisors (180003746790).

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

106912624410 is a wasteful number, since it uses less digits than its factorization.

106912624410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522292 (or 2522286 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 106912624410 in words is "one hundred six billion, nine hundred twelve million, six hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 270 314 471 785 942 1413 1570 2355 2826 4239 4710 7065 8478 14130 21195 42390 2522119 5044238 7566357 12610595 15132714 22699071 25221190 37831785 45398142 68097213 75663570 113495355 136194426 226990710 340486065 395972683 680972130 791945366 1187918049 1979863415 2375836098 3563754147 3959726830 5939590245 7127508294 10691262441 11879180490 17818770735 21382524882 35637541470 53456312205 106912624410