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10746342295056 = 2432745910005011
BaseRepresentation
bin1001110001100001001111…
…1010100100011000010000
31102001100012001221011021200
42130120103322210120100
52402032002111420211
634504445042351200
72156253244233624
oct234302372443020
942040161834250
1010746342295056
113473553083915
12125686835b500
135cc4b662c914
142921a9073184
1513980c6d0b56
hex9c613ea4610

10746342295056 has 60 divisors (see below), whose sum is σ = 30078867976560. Its totient is φ = 3581633499840.

The previous prime is 10746342295049. The next prime is 10746342295057. The reversal of 10746342295056 is 65059224364701.

It is a happy number.

10746342295056 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 6 + 342 + 295 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10746342294993 and 10746342295011.

It is not an unprimeable number, because it can be changed into a prime (10746342295057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3928410 + ... + 6076601.

It is an arithmetic number, because the mean of its divisors is an integer number (501314466276).

Almost surely, 210746342295056 is an apocalyptic number.

10746342295056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10746342295056 is an abundant number, since it is smaller than the sum of its proper divisors (19332525681504).

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

10746342295056 is a wasteful number, since it uses less digits than its factorization.

10746342295056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10012484 (or 10012475 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 10746342295056 in words is "ten trillion, seven hundred forty-six billion, three hundred forty-two million, two hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7459 14918 22377 29836 44754 59672 67131 89508 119344 134262 179016 268524 358032 537048 1074096 10005011 20010022 30015033 40020044 60030066 80040088 90045099 120060132 160080176 180090198 240120264 360180396 480240528 720360792 1440721584 74627377049 149254754098 223882131147 298509508196 447764262294 597019016392 671646393441 895528524588 1194038032784 1343292786882 1791057049176 2686585573764 3582114098352 5373171147528 10746342295056