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10706782968 = 2332741518137
BaseRepresentation
bin10011111100010110…
…01000101011111000
31000122011200221002100
421332023020223320
5133411414023333
64530231303400
7526216103460
oct117613105370
930564627070
1010706782968
1145a4777572
1220a981ab60
13101826304b
14737d84ba0
15429e70213
hex27e2c8af8

10706782968 has 96 divisors (see below), whose sum is σ = 33948401760. Its totient is φ = 2984463360.

The previous prime is 10706782949. The next prime is 10706782993. The reversal of 10706782968 is 86928760701.

It is a super-2 number, since 2×107067829682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238405 + ... + 279732.

It is an arithmetic number, because the mean of its divisors is an integer number (353629185).

Almost surely, 210706782968 is an apocalyptic number.

10706782968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10706782968 is an abundant number, since it is smaller than the sum of its proper divisors (23241618792).

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

10706782968 is a wasteful number, since it uses less digits than its factorization.

10706782968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518197 (or 518190 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10706782968 in words is "ten billion, seven hundred six million, seven hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 5166 6888 10332 20664 518137 1036274 1554411 2072548 3108822 3626959 4145096 4663233 6217644 7253918 9326466 10880877 12435288 14507836 18652932 21243617 21761754 29015672 32642631 37305864 42487234 43523508 63730851 65285262 84974468 87047016 127461702 130570524 148705319 169948936 191192553 254923404 261141048 297410638 382385106 446115957 509846808 594821276 764770212 892231914 1189642552 1338347871 1529540424 1784463828 2676695742 3568927656 5353391484 10706782968