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23296835664 = 24324122717383
BaseRepresentation
bin10101101100100110…
…011000000001010000
32020010121002212120100
4111230212120001100
5340202442220124
614411420012400
71453213556454
oct255446300120
966117085510
1023296835664
1199755024a3
124622091100
13227371c87b
1411b00ba664
159153e61c9
hex56c998050

23296835664 has 120 divisors (see below), whose sum is σ = 67087081152. Its totient is φ = 7542397440.

The previous prime is 23296835651. The next prime is 23296835671. The reversal of 23296835664 is 46653869232.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23296835664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331517 + ... + 1348899.

Almost surely, 223296835664 is an apocalyptic number.

23296835664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23296835664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33543540576).

23296835664 is an abundant number, since it is smaller than the sum of its proper divisors (43790245488).

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

23296835664 is a wasteful number, since it uses less digits than its factorization.

23296835664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17665 (or 17656 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 23296835664 in words is "twenty-three billion, two hundred ninety-six million, eight hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 227 246 328 369 454 492 656 681 738 908 984 1362 1476 1816 1968 2043 2724 2952 3632 4086 5448 5904 8172 9307 10896 16344 17383 18614 27921 32688 34766 37228 52149 55842 69532 74456 83763 104298 111684 139064 148912 156447 167526 208596 223368 278128 312894 335052 417192 446736 625788 670104 712703 834384 1251576 1340208 1425406 2138109 2503152 2850812 3945941 4276218 5701624 6414327 7891882 8552436 11403248 11837823 12828654 15783764 17104872 23675646 25657308 31567528 34209744 35513469 47351292 51314616 63135056 71026938 94702584 102629232 142053876 161783581 189405168 284107752 323567162 485350743 568215504 647134324 970701486 1294268648 1456052229 1941402972 2588537296 2912104458 3882805944 5824208916 7765611888 11648417832 23296835664