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19631689344 = 2732131130087
BaseRepresentation
bin10010010010001000…
…111100111010000000
31212200011111011000100
4102102020330322000
5310201203024334
613004011122400
71263330414621
oct222210747200
955604434010
1019631689344
118364638853
12397a743400
131b0b2b0237
14d4340da48
1579d766c99
hex49223ce80

19631689344 has 96 divisors (see below), whose sum is σ = 56923907040. Its totient is φ = 6493893120.

The previous prime is 19631689339. The next prime is 19631689361. The reversal of 19631689344 is 44398613691.

19631689344 is a `hidden beast` number, since 196 + 31 + 6 + 89 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 85869 + ... + 215955.

It is an arithmetic number, because the mean of its divisors is an integer number (592957365).

Almost surely, 219631689344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19631689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28461953520).

19631689344 is an abundant number, since it is smaller than the sum of its proper divisors (37292217696).

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

19631689344 is a wasteful number, since it uses less digits than its factorization.

19631689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130238 (or 130223 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 19631689344 in words is "nineteen billion, six hundred thirty-one million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 262 288 384 393 524 576 786 1048 1152 1179 1572 2096 2358 3144 4192 4716 6288 8384 9432 12576 16768 18864 25152 37728 50304 75456 130087 150912 260174 390261 520348 780522 1040696 1170783 1561044 2081392 2341566 3122088 4162784 4683132 6244176 8325568 9366264 12488352 16651136 17041397 18732528 24976704 34082794 37465056 49953408 51124191 68165588 74930112 102248382 136331176 149860224 153372573 204496764 272662352 306745146 408993528 545324704 613490292 817987056 1090649408 1226980584 1635974112 2181298816 2453961168 3271948224 4907922336 6543896448 9815844672 19631689344