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20654542440 = 2332578196247
BaseRepresentation
bin10011001111000110…
…110100111001101000
31222022110011110200100
4103033012310321220
5314300030324230
613253310305400
71330560466620
oct231706647150
958273143610
1020654542440
118839a50494
1240051b8260
131c4218c35c
14ddd1c9880
1580d45e660
hex4cf1b4e68

20654542440 has 96 divisors (see below), whose sum is σ = 76716881280. Its totient is φ = 4721037696.

The previous prime is 20654542427. The next prime is 20654542457. The reversal of 20654542440 is 4424545602.

20654542440 is a `hidden beast` number, since 20 + 6 + 54 + 542 + 4 + 40 = 666.

It is a super-2 number, since 2×206545424402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20654542395 and 20654542404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4095604 + ... + 4100643.

It is an arithmetic number, because the mean of its divisors is an integer number (799134180).

Almost surely, 220654542440 is an apocalyptic number.

20654542440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20654542440 is an abundant number, since it is smaller than the sum of its proper divisors (56062338840).

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

20654542440 is a wasteful number, since it uses less digits than its factorization.

20654542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8196271 (or 8196264 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 20654542440 in words is "twenty billion, six hundred fifty-four million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8196247 16392494 24588741 32784988 40981235 49177482 57373729 65569976 73766223 81962470 98354964 114747458 122943705 147532446 163924940 172121187 196709928 229494916 245887410 286868645 295064892 327849880 344242374 368831115 458989832 491774820 516363561 573737290 590129784 688484748 737662230 860605935 983549640 1032727122 1147474580 1376969496 1475324460 1721211870 2065454244 2294949160 2581817805 2950648920 3442423740 4130908488 5163635610 6884847480 10327271220 20654542440