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20541342540 = 2235379252857
BaseRepresentation
bin10011001000010111…
…000000001101001100
31222000120011022121110
4103020113000031030
5314032040430130
613234144132020
71325014350015
oct231027001514
958016138543
1020541342540
118791063754
123b93307010
131c248a6674
14dcc16000c
1580354dab0
hex4c85c034c

20541342540 has 48 divisors (see below), whose sum is σ = 59070245472. Its totient is φ = 5329645056.

The previous prime is 20541342533. The next prime is 20541342593. The reversal of 20541342540 is 4524314502.

It is a super-2 number, since 2×205413425402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20541342498 and 20541342507.

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, 4624209 + ... + 4628648.

It is an arithmetic number, because the mean of its divisors is an integer number (1230630114).

Almost surely, 220541342540 is an apocalyptic number.

20541342540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20541342540 is an abundant number, since it is smaller than the sum of its proper divisors (38528902932).

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

20541342540 is a wasteful number, since it uses less digits than its factorization.

20541342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9252906 (or 9252904 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 20541342540 in words is "twenty billion, five hundred forty-one million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 9252857 18505714 27758571 37011428 46264285 55517142 92528570 111034284 138792855 185057140 277585710 342355709 555171420 684711418 1027067127 1369422836 1711778545 2054134254 3423557090 4108268508 5135335635 6847114180 10270671270 20541342540