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23268638976 = 283118533229
BaseRepresentation
bin10101101010111010…
…110100000100000000
32020001122001022222120
4111222322310010000
5340123232421401
614404531404240
71452422111412
oct255272640400
966048038876
1023268638976
1199605a3950
124614753680
13226a92963b
1411aa45a9b2
15912bc6836
hex56aeb4100

23268638976 has 144 divisors (see below), whose sum is σ = 67658525760. Its totient is φ = 7040655360.

The previous prime is 23268638923. The next prime is 23268639019. The reversal of 23268638976 is 67983686232.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7204530 + ... + 7207758.

Almost surely, 223268638976 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 23268638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33829262880).

23268638976 is an abundant number, since it is smaller than the sum of its proper divisors (44389886784).

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

23268638976 is a wasteful number, since it uses less digits than its factorization.

23268638976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4098 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 60.

The spelling of 23268638976 in words is "twenty-three billion, two hundred sixty-eight million, six hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 853 1056 1408 1706 2112 2559 2816 3229 3412 4224 5118 6458 6824 8448 9383 9687 10236 12916 13648 18766 19374 20472 25832 27296 28149 35519 37532 38748 40944 51664 54592 56298 71038 75064 77496 81888 103328 106557 109184 112596 142076 150128 154992 163776 206656 213114 218368 225192 284152 300256 309984 327552 413312 426228 450384 568304 600512 619968 655104 826624 852456 900768 1136608 1201024 1239936 1704912 1801536 2273216 2402048 2479872 2754337 3409824 3603072 4546432 5508674 6819648 7206144 8263011 9092864 11017348 13639296 16526022 22034696 27278592 30297707 33052044 44069392 60595414 66104088 88138784 90893121 121190828 132208176 176277568 181786242 242381656 264416352 352555136 363572484 484763312 528832704 705110272 727144968 969526624 1057665408 1454289936 1939053248 2115330816 2908579872 3878106496 5817159744 7756212992 11634319488 23268638976