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10908932112 = 24321312974493
BaseRepresentation
bin10100010100011100…
…10001100000010000
31001011021002011120200
422022032101200100
5134320141311422
65002252135200
7534222251541
oct121216214020
931137064520
1010908932112
114698898181
122145467500
13104b0c0620
14756b664c8
1543caa12ac
hex28a391810

10908932112 has 120 divisors (see below), whose sum is σ = 32910982104. Its totient is φ = 3353260032.

The previous prime is 10908932093. The next prime is 10908932141. The reversal of 10908932112 is 21123980901.

It can be written as a sum of positive squares in 4 ways, for example, as 6959563776 + 3949368336 = 83424^2 + 62844^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2425738 + ... + 2430230.

Almost surely, 210908932112 is an apocalyptic number.

10908932112 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 10908932112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16455491052).

10908932112 is an abundant number, since it is smaller than the sum of its proper divisors (22002049992).

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

10908932112 is a wasteful number, since it uses less digits than its factorization.

10908932112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10908932112 in words is "ten billion, nine hundred eight million, nine hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1297 1872 2594 3891 4493 5188 7782 8986 10376 11673 13479 15564 16861 17972 20752 23346 26958 31128 33722 35944 40437 46692 50583 53916 58409 62256 67444 71888 80874 93384 101166 107832 116818 134888 151749 161748 175227 186768 202332 215664 233636 269776 303498 323496 350454 404664 467272 525681 606996 646992 700908 809328 934544 1051362 1213992 1401816 2102724 2427984 2803632 4205448 5827421 8410896 11654842 17482263 23309684 34964526 46619368 52446789 69929052 75756473 93238736 104893578 139858104 151512946 209787156 227269419 279716208 303025892 419574312 454538838 606051784 681808257 839148624 909077676 1212103568 1363616514 1818155352 2727233028 3636310704 5454466056 10908932112