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21600149904 = 243350000347
BaseRepresentation
bin10100000111011110…
…000010000110010000
32001202100111022021000
4110013132002012100
5323214114244104
613531210102000
71363162146654
oct240736020620
961670438230
1021600149904
1191847a3363
124229a1a900
1320630639b8
14108ca18a64
15866499639
hex507782190

21600149904 has 40 divisors (see below), whose sum is σ = 62000431520. Its totient is φ = 7200049824.

The previous prime is 21600149887. The next prime is 21600149927. The reversal of 21600149904 is 40994100612.

It is a happy number.

21600149904 is a `hidden beast` number, since 2 + 1 + 600 + 1 + 49 + 9 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 7 ways as a sum of consecutive naturals, for example, 24999742 + ... + 25000605.

It is an arithmetic number, because the mean of its divisors is an integer number (1550010788).

Almost surely, 221600149904 is an apocalyptic number.

21600149904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21600149904 is an abundant number, since it is smaller than the sum of its proper divisors (40400281616).

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

21600149904 is a wasteful number, since it uses less digits than its factorization.

21600149904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50000364 (or 50000352 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21600149904 in words is "twenty-one billion, six hundred million, one hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 50000347 100000694 150001041 200001388 300002082 400002776 450003123 600004164 800005552 900006246 1200008328 1350009369 1800012492 2400016656 2700018738 3600024984 5400037476 7200049968 10800074952 21600149904