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21120694768446 = 23713319377133073
BaseRepresentation
bin1001100110101100010111…
…00000100101001100111110
32202210010012112101102202220
410303112023200211030332
510232020140330042241
6112530414020230210
74306630335255210
oct463261340451476
982703175342686
1021120694768446
116803266643949
1224513b9b3b366
13ba2899693a10
14530365dc25b0
152695e7590166
hex13358b82533e

21120694768446 has 128 divisors (see below), whose sum is σ = 53672606539776. Its totient is φ = 5389990871040.

The previous prime is 21120694768421. The next prime is 21120694768463. The reversal of 21120694768446 is 64486749602112.

It is a self number, because there is not a number n which added to its sum of digits gives 21120694768446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158648566 + ... + 158781638.

It is an arithmetic number, because the mean of its divisors is an integer number (419317238592).

Almost surely, 221120694768446 is an apocalyptic number.

21120694768446 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120694768446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26836303269888).

21120694768446 is an abundant number, since it is smaller than the sum of its proper divisors (32551911771330).

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

21120694768446 is a wasteful number, since it uses less digits than its factorization.

21120694768446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142506.

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 21120694768446 in words is "twenty-one trillion, one hundred twenty billion, six hundred ninety-four million, seven hundred sixty-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2418 2821 5642 8463 9377 16926 18754 28131 56262 65639 121901 131278 133073 196917 243802 266146 290687 365703 393834 399219 581374 731406 798438 853307 872061 931511 1706614 1729949 1744122 1863022 2034809 2559921 2794533 3459898 3778931 4069618 4125263 5119842 5189847 5589066 6104427 7557862 8250526 10379694 11336793 12109643 12208854 12375789 22673586 24219286 24751578 26452517 28876841 36328929 52905034 53628419 57753682 72657858 79357551 86630523 107256838 158715102 160885257 173261046 321770514 375398933 750797866 1126196799 1247825521 2252393598 2495651042 3743476563 7486953126 8734778647 16221731773 17469557294 26204335941 32443463546 38682591151 48665195319 52408671882 77365182302 97330390638 113552122411 116047773453 227104244822 232095546906 270778138057 340656367233 502873684963 541556276114 681312734466 812334414171 1005747369926 1508621054889 1624668828342 3017242109778 3520115794741 7040231589482 10560347384223 21120694768446