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10608378192 = 243410937489
BaseRepresentation
bin10011110000100111…
…10000000101010000
31000101022112110010000
421320103300011100
5133211221100232
64512354210000
7523612504206
oct117023600520
930338473100
1010608378192
114554175605
122080883900
131000a5a679
14728c8b076
154214d327c
hex2784f0150

10608378192 has 100 divisors (see below), whose sum is σ = 30735919060. Its totient is φ = 3532419072.

The previous prime is 10608378191. The next prime is 10608378203. The reversal of 10608378192 is 29187380601.

10608378192 is a `hidden beast` number, since 1 + 0 + 608 + 37 + 8 + 1 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8586616896 + 2021761296 = 92664^2 + 44964^2 .

It is a super-2 number, since 2×106083781922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10608378191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1412784 + ... + 1420272.

Almost surely, 210608378192 is an apocalyptic number.

10608378192 is a gapful number since it is divisible by the number (12) 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 10608378192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367959530).

10608378192 is an abundant number, since it is smaller than the sum of its proper divisors (20127540868).

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

10608378192 is a wasteful number, since it uses less digits than its factorization.

10608378192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10608378192 in words is "ten billion, six hundred eight million, three hundred seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1093 1296 2186 3279 4372 6558 7489 8744 9837 13116 14978 17488 19674 22467 26232 29511 29956 39348 44934 52464 59022 59912 67401 78696 88533 89868 118044 119824 134802 157392 177066 179736 202203 236088 269604 354132 359472 404406 472176 539208 606609 708264 808812 1078416 1213218 1416528 1617624 2426436 3235248 4852872 8185477 9705744 16370954 24556431 32741908 49112862 65483816 73669293 98225724 130967632 147338586 196451448 221007879 294677172 392902896 442015758 589354344 663023637 884031516 1178708688 1326047274 1768063032 2652094548 3536126064 5304189096 10608378192