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16201620432 = 2433172206103
BaseRepresentation
bin11110001011011000…
…10001101111010000
31112211010012121001000
433011230101233100
5231140103323212
611235400542000
71112330333664
oct170554215720
945733177030
1016201620432
116964435258
123181a81900
1316b2789c6a
14ad9a568a4
1564c5701dc
hex3c5b11bd0

16201620432 has 80 divisors (see below), whose sum is σ = 49240241280. Its totient is φ = 5082859008.

The previous prime is 16201620341. The next prime is 16201620433. The reversal of 16201620432 is 23402610261.

16201620432 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 1 + 620 + 4 + 32 = 666.

16201620432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16201620396 and 16201620405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16201620433) by changing a digit.

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, 1095708 + ... + 1110395.

It is an arithmetic number, because the mean of its divisors is an integer number (615503016).

Almost surely, 216201620432 is an apocalyptic number.

16201620432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16201620432 is an abundant number, since it is smaller than the sum of its proper divisors (33038620848).

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

16201620432 is a wasteful number, since it uses less digits than its factorization.

16201620432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206137 (or 2206125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 16201620432 in words is "sixteen billion, two hundred one million, six hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 2206103 4412206 6618309 8824412 13236618 17648824 19854927 26473236 35297648 37503751 39709854 52946472 59564781 75007502 79419708 105892944 112511253 119129562 150015004 158839416 225022506 238259124 300030008 317678832 337533759 450045012 476518248 600060016 675067518 900090024 953036496 1012601277 1350135036 1800180048 2025202554 2700270072 4050405108 5400540144 8100810216 16201620432