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19696152672 = 2533717238329
BaseRepresentation
bin10010010101111110…
…110111000001100000
31212211122210020002000
4102111332313001200
5310314203341142
613014232524000
71265042351430
oct222576670140
955748706060
1019696152672
118397a68029
123998250600
131b1b760911
14d4bbd02c0
157a424c14c
hex495fb7060

19696152672 has 384 divisors, whose sum is σ = 72546969600. Its totient is φ = 5065555968.

The previous prime is 19696152661. The next prime is 19696152673. The reversal of 19696152672 is 27625169691.

19696152672 is a `hidden beast` number, since 19 + 6 + 9 + 615 + 2 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19696152673) 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 63 ways as a sum of consecutive naturals, for example, 2360604 + ... + 2368932.

It is an arithmetic number, because the mean of its divisors is an integer number (188924400).

Almost surely, 219696152672 is an apocalyptic number.

19696152672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19696152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36273484800).

19696152672 is an abundant number, since it is smaller than the sum of its proper divisors (52850816928).

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

19696152672 is a wasteful number, since it uses less digits than its factorization.

19696152672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8395 (or 8381 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 19696152672 in words is "nineteen billion, six hundred ninety-six million, one hundred fifty-two thousand, six hundred seventy-two".