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23320977408 = 21333105437
BaseRepresentation
bin10101101110000010…
…011110000000000000
32020012021112101211000
4111232002132000000
5340230132234113
614414041252000
71453626015531
oct255602360000
966167471730
1023320977408
1199880a1553
12462a194000
132278723221
1411b33a2688
159175b4373
hex56e09e000

23320977408 has 112 divisors (see below), whose sum is σ = 69095630160. Its totient is φ = 7773585408.

The previous prime is 23320977343. The next prime is 23320977431. The reversal of 23320977408 is 80477902332.

23320977408 is a `hidden beast` number, since 2 + 33 + 209 + 7 + 7 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168466 + ... + 273902.

Almost surely, 223320977408 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 23320977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34547815080).

23320977408 is an abundant number, since it is smaller than the sum of its proper divisors (45774652752).

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

23320977408 is an equidigital number, since it uses as much as digits as its factorization.

23320977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105472 (or 105442 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 23320977408 in words is "twenty-three billion, three hundred twenty million, nine hundred seventy-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 18432 24576 27648 36864 55296 73728 105437 110592 210874 221184 316311 421748 632622 843496 948933 1265244 1686992 1897866 2530488 2846799 3373984 3795732 5060976 5693598 6747968 7591464 10121952 11387196 13495936 15182928 20243904 22774392 26991872 30365856 40487808 45548784 53983744 60731712 80975616 91097568 107967488 121463424 161951232 182195136 215934976 242926848 323902464 364390272 431869952 485853696 647804928 728780544 863739904 971707392 1295609856 1457561088 1943414784 2591219712 2915122176 3886829568 5830244352 7773659136 11660488704 23320977408