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23330947964944 = 245929722112
BaseRepresentation
bin1010100111000001010001…
…10111011010000000010000
310001121102020212201022122211
411103200220313122000100
511024223240134334234
6121342031201041504
74625414432406364
oct523405067320020
9101542225638584
1023330947964944
117485665987144
12274983b326294
131003139526019
145a931c5852a4
152a6d58c16164
hex153828dda010

23330947964944 has 135 divisors (see below), whose sum is σ = 46683041061501. Its totient is φ = 11295740574720.

The previous prime is 23330947964921. The next prime is 23330947964953. The reversal of 23330947964944 is 44946974903332.

The square root of 23330947964944 is 4830212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10476485827600 + 12854462137344 = 3236740^2 + 3585312^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23330947964944.

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 26 ways as a sum of consecutive naturals, for example, 110573212999 + ... + 110573213209.

Almost surely, 223330947964944 is an apocalyptic number.

23330947964944 is the 4830212-nd square number.

It is an amenable number.

23330947964944 is an abundant number, since it is smaller than the sum of its proper divisors (23352093096557).

23330947964944 is an frugal number, since it uses more digits than its factorization.

23330947964944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 67.

The spelling of 23330947964944 in words is "twenty-three trillion, three hundred thirty billion, nine hundred forty-seven million, nine hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 59 97 118 194 211 236 388 422 472 776 844 944 1552 1688 3376 3481 5723 6962 9409 11446 12449 13924 18818 20467 22892 24898 27848 37636 40934 44521 45784 49796 55696 75272 81868 89042 91568 99592 150544 163736 178084 199184 327472 337657 356168 555131 675314 712336 734491 1110262 1207553 1350628 1468982 1985299 2220524 2415106 2626739 2701256 2937964 3970598 4318537 4441048 4830212 5253478 5402512 5875928 7941196 8637074 8882096 9660424 10506956 11751856 15882392 17274148 19320848 21013912 31764784 32752729 34548296 42027824 65505458 69096592 71245627 117132641 131010916 142491254 154977601 234265282 254793683 262021832 284982508 309955202 418898089 468530564 509587366 524043664 569965016 619910404 837796178 937061128 1019174732 1139930032 1239820808 1675592356 1874122256 2038349464 2479641616 3351184712 4076698928 6702369424 6910825819 13821651638 15032827297 24714987251 27643303276 30065654594 49429974502 55286606552 60131309188 98859949004 110573213104 120262618376 197719898008 240525236752 395439796016 1458184247809 2916368495618 5832736991236 11665473982472 23330947964944