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10706936688 = 2432721517423
BaseRepresentation
bin10011111100010111…
…01110001101110000
31000122011222201221200
421332023232031300
5133411433433223
64530234451200
7526220313600
oct117613561560
930564881850
1010706936688
1145a4872008
1220a9893b00
1310182b7cc6
14737dc4c00
15429ea0a43
hex27e2ee370

10706936688 has 90 divisors (see below), whose sum is σ = 34856746704. Its totient is φ = 3059122752.

The previous prime is 10706936663. The next prime is 10706936729. The reversal of 10706936688 is 88663960701.

It is a happy number.

It is a super-2 number, since 2×107069366882 (a number of 21 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 751656 + ... + 765767.

Almost surely, 210706936688 is an apocalyptic number.

10706936688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10706936688 is an abundant number, since it is smaller than the sum of its proper divisors (24149810016).

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

10706936688 is a wasteful number, since it uses less digits than its factorization.

10706936688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517451 (or 1517435 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10706936688 in words is "ten billion, seven hundred six million, nine hundred thirty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 1517423 3034846 4552269 6069692 9104538 10621961 12139384 13656807 18209076 21243922 24278768 27313614 31865883 36418152 42487844 54627228 63731766 72836304 74353727 84975688 95597649 109254456 127463532 148707454 169951376 191195298 218508912 223061181 254927064 297414908 382390596 446122362 509854128 594829816 669183543 764781192 892244724 1189659632 1338367086 1529562384 1784489448 2676734172 3568978896 5353468344 10706936688