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20905116120 = 2333572765227
BaseRepresentation
bin10011011110000010…
…101100000111011000
31222221220122221011000
4103132002230013120
5320303202203440
613334221105000
71340022361260
oct233602540730
958856587130
1020905116120
118958436179
1240750b8160
131c82072bc5
1410245b47a0
15825458730
hex4de0ac1d8

20905116120 has 128 divisors (see below), whose sum is σ = 79638566400. Its totient is φ = 4778310528.

The previous prime is 20905116107. The next prime is 20905116131. The reversal of 20905116120 is 2161150902.

20905116120 is a `hidden beast` number, since 2 + 0 + 90 + 511 + 61 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1375054 + ... + 1390173.

It is an arithmetic number, because the mean of its divisors is an integer number (622176300).

Almost surely, 220905116120 is an apocalyptic number.

20905116120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20905116120 is an abundant number, since it is smaller than the sum of its proper divisors (58733450280).

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

20905116120 is a wasteful number, since it uses less digits than its factorization.

20905116120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765254 (or 2765244 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 20905116120 in words is "twenty billion, nine hundred five million, one hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 2765227 5530454 8295681 11060908 13826135 16591362 19356589 22121816 24887043 27652270 33182724 38713178 41478405 49774086 55304540 58069767 66365448 74661129 77426356 82956810 96782945 99548172 110609080 116139534 124435215 149322258 154852712 165913620 174209301 193565890 199096344 232279068 248870430 290348835 298644516 331827240 348418602 373305645 387131780 464558136 497740860 522627903 580697670 597289032 696837204 746611290 774263560 871046505 995481720 1045255806 1161395340 1393674408 1493222580 1742093010 2090511612 2322790680 2613139515 2986445160 3484186020 4181023224 5226279030 6968372040 10452558060 20905116120