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10976268725568 = 2632163116908111
BaseRepresentation
bin1001111110111001110010…
…0110010010110101000000
31102212022200001002000210100
42133232130212102311000
52414313344243204233
635202232300002400
72212003112525316
oct237563446226500
942768601060710
1010976268725568
1135520115aa213
121293336230400
136180999c5733
1429d37b8cc0b6
151407b809a813
hex9fb9c992d40

10976268725568 has 84 divisors (see below), whose sum is σ = 31654508037568. Its totient is φ = 3636309853440.

The previous prime is 10976268725509. The next prime is 10976268725593. The reversal of 10976268725568 is 86552786267901.

10976268725568 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 6 + 2 + 68 + 7 + 2 + 556 + 8 = 666.

10976268725568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10976268725496 and 10976268725505.

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, 58360168 + ... + 58547943.

Almost surely, 210976268725568 is an apocalyptic number.

10976268725568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10976268725568 is an abundant number, since it is smaller than the sum of its proper divisors (20678239312000).

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

10976268725568 is a wasteful number, since it uses less digits than its factorization.

10976268725568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116908292 (or 116908279 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 10976268725568 in words is "ten trillion, nine hundred seventy-six billion, two hundred sixty-eight million, seven hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 163 192 288 326 489 576 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 10432 11736 15648 23472 31296 46944 93888 116908111 233816222 350724333 467632444 701448666 935264888 1052172999 1402897332 1870529776 2104345998 2805794664 3741059552 4208691996 5611589328 7482119104 8417383992 11223178656 16834767984 19056022093 22446357312 33669535968 38112044186 57168066279 67339071936 76224088372 114336132558 152448176744 171504198837 228672265116 304896353488 343008397674 457344530232 609792706976 686016795348 914689060464 1219585413952 1372033590696 1829378120928 2744067181392 3658756241856 5488134362784 10976268725568