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19688432064 = 263722092733
BaseRepresentation
bin10010010101100001…
…011010000111000000
31212211010020222101120
4102111201122013000
5310310214311224
613013355232240
71264616624400
oct222541320700
955733228346
1019688432064
118393674464
123995748680
131b19c89702
14d4ab80800
157a3724779
hex49585a1c0

19688432064 has 84 divisors (see below), whose sum is σ = 60597205704. Its totient is φ = 5625263616.

The previous prime is 19688432051. The next prime is 19688432081. The reversal of 19688432064 is 46023488691.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 19688431998 and 19688432016.

It is a congruent number.

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, 1036959 + ... + 1055774.

It is an arithmetic number, because the mean of its divisors is an integer number (721395306).

Almost surely, 219688432064 is an apocalyptic number.

19688432064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19688432064 is an abundant number, since it is smaller than the sum of its proper divisors (40908773640).

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

19688432064 is a wasteful number, since it uses less digits than its factorization.

19688432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092762 (or 2092745 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 19688432064 in words is "nineteen billion, six hundred eighty-eight million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 2092733 4185466 6278199 8370932 12556398 14649131 16741864 25112796 29298262 33483728 43947393 50225592 58596524 66967456 87894786 100451184 102543917 117193048 133934912 175789572 200902368 205087834 234386096 307631751 351579144 401804736 410175668 468772192 615263502 703158288 820351336 937544384 1230527004 1406316576 1640702672 2461054008 2812633152 3281405344 4922108016 6562810688 9844216032 19688432064