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20132430984 = 2333809115211
BaseRepresentation
bin10010101111111111…
…001000010010001000
31220222001201110102000
4102233333020102020
5312212400242414
613125415511000
71311620561031
oct225777102210
956861643360
1020132430984
1185a1261416
123a9a388460
131b8ac64a73
14d8db19a88
157cc6c9b09
hex4affc8488

20132430984 has 64 divisors (see below), whose sum is σ = 55993032000. Its totient is φ = 6702456960.

The previous prime is 20132430977. The next prime is 20132431013. The reversal of 20132430984 is 48903423102.

20132430984 is a `hidden beast` number, since 2 + 0 + 132 + 430 + 98 + 4 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117139 + ... + 232349.

It is an arithmetic number, because the mean of its divisors is an integer number (874891125).

Almost surely, 220132430984 is an apocalyptic number.

20132430984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20132430984 is an abundant number, since it is smaller than the sum of its proper divisors (35860601016).

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

20132430984 is a wasteful number, since it uses less digits than its factorization.

20132430984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116035 (or 116025 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20132430984 in words is "twenty billion, one hundred thirty-two million, four hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 809 1618 2427 3236 4854 6472 7281 9708 14562 19416 21843 29124 43686 58248 87372 115211 174744 230422 345633 460844 691266 921688 1036899 1382532 2073798 2765064 3110697 4147596 6221394 8295192 12442788 24885576 93205699 186411398 279617097 372822796 559234194 745645592 838851291 1118468388 1677702582 2236936776 2516553873 3355405164 5033107746 6710810328 10066215492 20132430984