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68524014456 = 233213723932903
BaseRepresentation
bin111111110100010110…
…010111101101111000
320112212120000121100100
4333310112113231320
52110314121430311
651251323235400
74644042340542
oct776426275570
9215776017310
1068524014456
1127074024307
1211344678b60
136600712b21
1434609a4692
151bb0c5ba56
hexff4597b78

68524014456 has 96 divisors (see below), whose sum is σ = 187083056160. Its totient is φ = 22657330176.

The previous prime is 68524014431. The next prime is 68524014497. The reversal of 68524014456 is 65441042586.

It is a happy number.

68524014456 is a `hidden beast` number, since 68 + 524 + 0 + 14 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23603101 + ... + 23606003.

It is an arithmetic number, because the mean of its divisors is an integer number (1948781835).

Almost surely, 268524014456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68524014456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93541528080).

68524014456 is an abundant number, since it is smaller than the sum of its proper divisors (118559041704).

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

68524014456 is a wasteful number, since it uses less digits than its factorization.

68524014456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 68524014456 in words is "sixty-eight billion, five hundred twenty-four million, fourteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2393 2466 2903 3288 4786 4932 5806 7179 8709 9572 9864 11612 14358 17418 19144 21537 23224 26127 28716 34836 43074 52254 57432 69672 86148 104508 172296 209016 327841 397711 655682 795422 983523 1193133 1311364 1590844 1967046 2386266 2622728 2950569 3181688 3579399 3934092 4772532 5901138 6946879 7158798 7868184 9545064 11802276 13893758 14317596 20840637 23604552 27787516 28635192 41681274 55575032 62521911 83362548 125043822 166725096 250087644 500175288 951722423 1903444846 2855167269 3806889692 5710334538 7613779384 8565501807 11420669076 17131003614 22841338152 34262007228 68524014456