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21690766935630 = 23251325873716543
BaseRepresentation
bin1001110111010010001100…
…11101010100011001001110
32211210121122211202001122200
410323221012131110121032
510320340142313420010
6114044333433222330
74366051265605302
oct473510635243116
984717584661580
1021690766935630
116a03003504711
122523995b619a6
13c14579ba61c0
1454dba5645d02
1527935ecdbcc0
hex13ba4675464e

21690766935630 has 96 divisors (see below), whose sum is σ = 60736579577856. Its totient is φ = 5339051891712.

The previous prime is 21690766935599. The next prime is 21690766935653. The reversal of 21690766935630 is 3653966709612.

21690766935630 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 0 + 7 + 6 + 69 + 3 + 563 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29913139 + ... + 30629681.

It is an arithmetic number, because the mean of its divisors is an integer number (632672703936).

Almost surely, 221690766935630 is an apocalyptic number.

21690766935630 is an abundant number, since it is smaller than the sum of its proper divisors (39045812642226).

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

21690766935630 is a wasteful number, since it uses less digits than its factorization.

21690766935630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742442 (or 742439 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 21690766935630 in words is "twenty-one trillion, six hundred ninety billion, seven hundred sixty-six million, nine hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 25873 51746 77619 129365 155238 232857 258730 336349 388095 465714 672698 716543 776190 1009047 1164285 1433086 1681745 2018094 2149629 2328570 3027141 3363490 3582715 4299258 5045235 6054282 6448887 7165430 9315059 10090470 10748145 12897774 15135705 18630118 21496290 27945177 30271410 32244435 46575295 55890354 64488870 83835531 93150590 139725885 167671062 279451770 419177655 838355310 18539117039 37078234078 55617351117 92695585195 111234702234 166852053351 185391170390 241008521507 278086755585 333704106702 482017043014 556173511170 723025564521 834260266755 1205042607535 1446051129042 1668520533510 2169076693563 2410085215070 3615127822605 4338153387126 7230255645210 10845383467815 21690766935630