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20785865940 = 22325741402359
BaseRepresentation
bin10011010110111011…
…110010010011010100
31222122121021101122200
4103112323302103110
5320032140202230
613314321124500
71334043642150
oct232673622324
958577241580
1020785865940
1188a7096804
124041189730
131c6344c378
141012812060
15819c50160
hex4d6ef24d4

20785865940 has 144 divisors (see below), whose sum is σ = 73815356160. Its totient is φ = 4635164160.

The previous prime is 20785865939. The next prime is 20785865959. The reversal of 20785865940 is 4956858702.

20785865940 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 586 + 59 + 4 + 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149520 + ... + 252839.

It is an arithmetic number, because the mean of its divisors is an integer number (512606640).

Almost surely, 220785865940 is an apocalyptic number.

20785865940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20785865940 is an abundant number, since it is smaller than the sum of its proper divisors (53029490220).

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

20785865940 is a wasteful number, since it uses less digits than its factorization.

20785865940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402422 (or 402417 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20785865940 in words is "twenty billion, seven hundred eighty-five million, eight hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5740 7380 8610 10332 12915 17220 25830 51660 402359 804718 1207077 1609436 2011795 2414154 2816513 3621231 4023590 4828308 5633026 6035385 7242462 8047180 8449539 11266052 12070770 14082565 14484924 16496719 16899078 18106155 24141540 25348617 28165130 32993438 33798156 36212310 42247695 49490157 50697234 56330260 65986876 72424620 82483595 84495390 98980314 101394468 115477033 126743085 148470471 164967190 168990780 197960628 230954066 247450785 253486170 296940942 329934380 346431099 461908132 494901570 506972340 577385165 593881884 692862198 742352355 989803140 1039293297 1154770330 1385724396 1484704710 1732155495 2078586594 2309540660 2969409420 3464310990 4157173188 5196466485 6928621980 10392932970 20785865940