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875686079961 = 327211240512
BaseRepresentation
bin11001011111000101111…
…01010010110111011001
310002201022001211222012100
430233202331102313121
5103321401114024321
61510141251434013
7120160213603200
oct14574275226731
93081261758170
10875686079961
11308415a65900
121218695b5909
136476642a084
14305521d2237
1517ba2bcc326
hexcbe2f52dd9

875686079961 has 81 divisors (see below), whose sum is σ = 1617713297109. Its totient is φ = 454789566000.

The previous prime is 875686079833. The next prime is 875686079963. The reversal of 875686079961 is 169970686578.

The square root of 875686079961 is 935781.

It is a perfect power (a square), and thus also a powerful number.

875686079961 is a `hidden beast` number, since 8 + 7 + 5 + 6 + 8 + 607 + 9 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 875686079961 - 27 = 875686079833 is a prime.

It is a super-2 number, since 2×8756860799612 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 875686079961.

It is not an unprimeable number, because it can be changed into a prime (875686079963) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 216163386 + ... + 216167436.

Almost surely, 2875686079961 is an apocalyptic number.

875686079961 is the 935781-st square number.

875686079961 is the 467891-st centered octagonal number.

It is an amenable number.

875686079961 is a deficient number, since it is larger than the sum of its proper divisors (742027217148).

875686079961 is an equidigital number, since it uses as much as digits as its factorization.

875686079961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8144 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 875686079961 in words is "eight hundred seventy-five billion, six hundred eighty-six million, seventy-nine thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4051 4851 5929 7623 12153 17787 28357 36459 44561 53361 85071 133683 198499 255213 311927 401049 490171 595497 935781 1470513 1786491 2183489 2807343 3431197 4411539 6550467 10293591 16410601 19651401 24018379 30880773 49231803 72055137 114874207 147695409 180516611 216165411 344622621 541549833 804119449 1033867863 1263616277 1624649499 1985682721 2412358347 3790848831 5957048163 7237075041 8845313939 11372546493 13899779047 17871144489 26535941817 41699337141 79607825451 97298453329 125098011423 291895359987 875686079961