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23680646616 = 233114319710589
BaseRepresentation
bin10110000011011110…
…011111110111011000
32021010100022111012210
4112003132133313120
5341444221142431
614513450235120
71465554114024
oct260336376730
967110274183
1023680646616
11a052120330
12470a725aa0
1323050b3543
141209069384
15938e5cd46
hex58379fdd8

23680646616 has 128 divisors (see below), whose sum is σ = 66427257600. Its totient is φ = 6972833280.

The previous prime is 23680646611. The next prime is 23680646657. The reversal of 23680646616 is 61664608632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23680646611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2231050 + ... + 2241638.

It is an arithmetic number, because the mean of its divisors is an integer number (518962950).

Almost surely, 223680646616 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 23680646616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33213628800).

23680646616 is an abundant number, since it is smaller than the sum of its proper divisors (42746610984).

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

23680646616 is a wasteful number, since it uses less digits than its factorization.

23680646616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 23680646616 in words is "twenty-three billion, six hundred eighty million, six hundred forty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 197 258 264 344 394 473 516 591 788 946 1032 1182 1419 1576 1892 2167 2364 2838 3784 4334 4728 5676 6501 8471 8668 10589 11352 13002 16942 17336 21178 25413 26004 31767 33884 42356 50826 52008 63534 67768 84712 93181 101652 116479 127068 186362 203304 232958 254136 279543 349437 372724 455327 465916 559086 698874 745448 910654 931832 1118172 1365981 1397748 1821308 2086033 2236344 2731962 2795496 3642616 4172066 5008597 5463924 6258099 8344132 10017194 10927848 12516198 15025791 16688264 20034388 22946363 25032396 30051582 40068776 45892726 50064792 60103164 68839089 89699419 91785452 120206328 137678178 179398838 183570904 269098257 275356356 358797676 538196514 550712712 717595352 986693609 1076393028 1973387218 2152786056 2960080827 3946774436 5920161654 7893548872 11840323308 23680646616