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10906206192 = 2432710819649
BaseRepresentation
bin10100010100000111…
…10111111111110000
31001011001221200022200
422022003313333300
5134313442044232
65002113503200
7534160136340
oct121203677760
931131850280
1010906206192
1146972a6152
122144571b00
13104a67795b
14756656d20
1543c71377c
hex28a0f7ff0

10906206192 has 60 divisors (see below), whose sum is σ = 34882551600. Its totient is φ = 3116058624.

The previous prime is 10906206151. The next prime is 10906206277. The reversal of 10906206192 is 29160260901.

10906206192 is a `hidden beast` number, since 10 + 9 + 0 + 6 + 20 + 619 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5408817 + ... + 5410832.

It is an arithmetic number, because the mean of its divisors is an integer number (581375860).

Almost surely, 210906206192 is an apocalyptic number.

10906206192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10906206192 is an abundant number, since it is smaller than the sum of its proper divisors (23976345408).

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

10906206192 is a wasteful number, since it uses less digits than its factorization.

10906206192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10819670 (or 10819661 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10906206192 in words is "ten billion, nine hundred six million, two hundred six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 10819649 21639298 32458947 43278596 64917894 75737543 86557192 97376841 129835788 151475086 173114384 194753682 227212629 259671576 302950172 389507364 454425258 519343152 605900344 681637887 779014728 908850516 1211800688 1363275774 1558029456 1817701032 2726551548 3635402064 5453103096 10906206192