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20184639120 = 2432528034221
BaseRepresentation
bin10010110011000110…
…010010011010010000
31221002200221220111200
4102303012102122100
5312314231422440
613134522511200
71313123413242
oct226306223220
957080856450
1020184639120
118618780138
123ab3965500
131b98a14259
14d96a2a092
157d208dc30
hex4b3192690

20184639120 has 60 divisors (see below), whose sum is σ = 67786748796. Its totient is φ = 5382570240.

The previous prime is 20184639071. The next prime is 20184639127. The reversal of 20184639120 is 2193648102.

20184639120 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 4 + 639 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9948865536 + 10235773584 = 99744^2 + 101172^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (20184639127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14016391 + ... + 14017830.

Almost surely, 220184639120 is an apocalyptic number.

20184639120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20184639120 is an abundant number, since it is smaller than the sum of its proper divisors (47602109676).

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

20184639120 is a wasteful number, since it uses less digits than its factorization.

20184639120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28034240 (or 28034231 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20184639120 in words is "twenty billion, one hundred eighty-four million, six hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 28034221 56068442 84102663 112136884 140171105 168205326 224273768 252307989 280342210 336410652 420513315 448547536 504615978 560684420 672821304 841026630 1009231956 1121368840 1261539945 1345642608 1682053260 2018463912 2242737680 2523079890 3364106520 4036927824 5046159780 6728213040 10092319560 20184639120