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20408500717020 = 223251337235718419
BaseRepresentation
bin1001010001111101110010…
…11011111000010111011100
32200021000220111122001011200
410220332321123320113130
510133333102140421040
6111223311422115500
74204315446564303
oct450767133702734
980230814561150
1020408500717020
1165592186739a9
12235737971bb90
13b50689b0b740
14507ac33c943a
15255d12bd5630
hex128fb96f85dc

20408500717020 has 144 divisors (see below), whose sum is σ = 68469600894240. Its totient is φ = 4887857115648.

The previous prime is 20408500716931. The next prime is 20408500717067. The reversal of 20408500717020 is 2071700580402.

20408500717020 is a `hidden beast` number, since 20 + 40 + 8 + 500 + 7 + 1 + 70 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117772630 + ... + 117945789.

Almost surely, 220408500717020 is an apocalyptic number.

20408500717020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20408500717020 is an abundant number, since it is smaller than the sum of its proper divisors (48061100177220).

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

20408500717020 is a wasteful number, since it uses less digits than its factorization.

20408500717020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235718484 (or 235718479 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 20408500717020 in words is "twenty trillion, four hundred eight billion, five hundred million, seven hundred seventeen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 962 1110 1170 1332 1443 1665 1924 2220 2340 2405 2886 3330 4329 4810 5772 6660 7215 8658 9620 14430 17316 21645 28860 43290 86580 235718419 471436838 707155257 942873676 1178592095 1414310514 2121465771 2357184190 2828621028 3064339447 3535776285 4242931542 4714368380 6128678894 7071552570 8485863084 8721581503 9193018341 10607328855 12257357788 14143105140 15321697235 17443163006 18386036682 21214657710 26164744509 27579055023 30643394470 34886326012 36772073364 42429315420 43607907515 45965091705 52329489018 55158110046 61286788940 78494233527 87215815030 91930183410 104658978036 110316220092 113380559539 130823722545 137895275115 156988467054 174431630060 183860366820 226761119078 261647445090 275790550230 313976934108 340141678617 392471167635 453522238156 523294890180 551581100460 566902797695 680283357234 784942335270 1020425035851 1133805595390 1360566714468 1569884670540 1700708393085 2040850071702 2267611190780 3401416786170 4081700143404 5102125179255 6802833572340 10204250358510 20408500717020