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10656645342 = 237249173823
BaseRepresentation
bin10011110110010111…
…11000000011011110
31000111200100200012020
421323023320003132
5133311100122332
64521240521010
7525036663600
oct117313700336
930450320166
1010656645342
114579442412
122094a80166
13100aa5a105
14731453170
1542586982c
hex27b2f80de

10656645342 has 48 divisors (see below), whose sum is σ = 24843843072. Its totient is φ = 3038513520.

The previous prime is 10656645289. The next prime is 10656645359. The reversal of 10656645342 is 24354665601.

It is a super-2 number, since 2×106566453422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10656645294 and 10656645303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107443 + ... + 181265.

It is an arithmetic number, because the mean of its divisors is an integer number (517580064).

Almost surely, 210656645342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10656645342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12421921536).

10656645342 is an abundant number, since it is smaller than the sum of its proper divisors (14187197730).

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

10656645342 is a wasteful number, since it uses less digits than its factorization.

10656645342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74333 (or 74326 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 10656645342 in words is "ten billion, six hundred fifty-six million, six hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 491 982 1473 2946 3437 6874 10311 20622 24059 48118 72177 73823 144354 147646 221469 442938 516761 1033522 1550283 3100566 3617327 7234654 10851981 21703962 36247093 72494186 108741279 217482558 253729651 507459302 761188953 1522377906 1776107557 3552215114 5328322671 10656645342