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10418809968 = 2432710336121
BaseRepresentation
bin10011011010000001…
…00110110001110000
3222220002211101101200
421231000212301300
5132314203404333
64441503131200
7516121265160
oct115500466160
928802741350
1010418809968
114467168156
1220292a3b00
13ca06b6618
1470ba225a0
1540ea39c13
hex26d026c70

10418809968 has 60 divisors (see below), whose sum is σ = 33323657328. Its totient is φ = 2976802560.

The previous prime is 10418809949. The next prime is 10418809987. The reversal of 10418809968 is 86990881401.

10418809968 is a `hidden beast` number, since 1 + 0 + 418 + 80 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (10418809949) and next prime (10418809987).

It is a super-2 number, since 2×104188099682 (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 11 ways as a sum of consecutive naturals, for example, 5167053 + ... + 5169068.

Almost surely, 210418809968 is an apocalyptic number.

10418809968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10418809968 is an abundant number, since it is smaller than the sum of its proper divisors (22904847360).

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

10418809968 is a wasteful number, since it uses less digits than its factorization.

10418809968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336142 (or 10336133 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 10418809968 in words is "ten billion, four hundred eighteen million, eight hundred nine thousand, nine hundred sixty-eight".

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 10336121 20672242 31008363 41344484 62016726 72352847 82688968 93025089 124033452 144705694 165377936 186050178 217058541 248066904 289411388 372100356 434117082 496133808 578822776 651175623 744200712 868234164 1157645552 1302351246 1488401424 1736468328 2604702492 3472936656 5209404984 10418809968