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21690623040 = 263534496551
BaseRepresentation
bin10100001100110111…
…001010010001000000
32001222122201211001220
4110030313022101000
5323410244414130
613544201155040
71365341153022
oct241467122100
961878654056
1021690623040
119220878149
12425418ba80
132078a200b8
14109aa4a012
1586e3bb410
hex50cdca440

21690623040 has 112 divisors (see below), whose sum is σ = 68898211200. Its totient is φ = 5781606400.

The previous prime is 21690623039. The next prime is 21690623063. The reversal of 21690623040 is 4032609612.

It is a junction number, because it is equal to n+sod(n) for n = 21690622992 and 21690623010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3307765 + ... + 3314315.

It is an arithmetic number, because the mean of its divisors is an integer number (615162600).

Almost surely, 221690623040 is an apocalyptic number.

21690623040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21690623040 is an abundant number, since it is smaller than the sum of its proper divisors (47207588160).

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

21690623040 is a wasteful number, since it uses less digits than its factorization.

21690623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020 (or 10010 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 21690623040 in words is "twenty-one billion, six hundred ninety million, six hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3449 6551 6898 10347 13102 13796 17245 19653 20694 26204 27592 32755 34490 39306 41388 51735 52408 55184 65510 68980 78612 82776 98265 103470 104816 110368 131020 137960 157224 165552 196530 206940 209632 220736 262040 275920 314448 331104 393060 413880 419264 524080 551840 628896 662208 786120 827760 1048160 1103680 1257792 1572240 1655520 2096320 3144480 3311040 6288960 22594399 45188798 67783197 90377596 112971995 135566394 180755192 225943990 271132788 338915985 361510384 451887980 542265576 677831970 723020768 903775960 1084531152 1355663940 1446041536 1807551920 2169062304 2711327880 3615103840 4338124608 5422655760 7230207680 10845311520 21690623040