Search a number
-
+
23316650496 = 29333154409
BaseRepresentation
bin10101101101110001…
…111101101000000000
32020011222101120102000
4111231301331220000
5340223030303441
614413404424000
71453544154606
oct255561755000
966158346360
1023316650496
119985706697
124628848000
132277869919
1411b2997876
1591700c2b6
hex56dc7da00

23316650496 has 160 divisors (see below), whose sum is σ = 71246630400. Its totient is φ = 7521361920.

The previous prime is 23316650477. The next prime is 23316650507. The reversal of 23316650496 is 69405661332.

23316650496 is a `hidden beast` number, since 23 + 31 + 6 + 6 + 504 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401340 + ... + 455748.

It is an arithmetic number, because the mean of its divisors is an integer number (445291440).

Almost surely, 223316650496 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 23316650496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35623315200).

23316650496 is an abundant number, since it is smaller than the sum of its proper divisors (47929979904).

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

23316650496 is an equidigital number, since it uses as much as digits as its factorization.

23316650496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54467 (or 54445 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 23316650496 in words is "twenty-three billion, three hundred sixteen million, six hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 992 1116 1152 1488 1536 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 4608 5952 6696 6912 7936 8928 11904 13392 13824 15872 17856 23808 26784 35712 47616 53568 54409 71424 107136 108818 142848 163227 214272 217636 326454 428544 435272 489681 652908 870544 979362 1305816 1469043 1686679 1741088 1958724 2611632 2938086 3373358 3482176 3917448 5060037 5223264 5876172 6746716 6964352 7834896 10120074 10446528 11752344 13493432 13928704 15180111 15669792 20240148 20893056 23504688 26986864 27857408 30360222 31339584 40480296 41786112 45540333 47009376 53973728 60720444 62679168 80960592 83572224 91080666 94018752 107947456 121440888 125358336 161921184 182161332 188037504 215894912 242881776 250716672 323842368 364322664 376075008 431789824 485763552 647684736 728645328 752150016 863579648 971527104 1295369472 1457290656 1943054208 2590738944 2914581312 3886108416 5829162624 7772216832 11658325248 23316650496