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19675393920 = 2732571337537
BaseRepresentation
bin10010010100101111…
…101010111110000000
31212210012201120102100
4102110233222332000
5310243400101140
613012211550400
71264401042330
oct222457527600
955705646370
1019675393920
118387279736
1239912bb400
131b17373030
14d491490c0
157a24eb530
hex494beaf80

19675393920 has 384 divisors, whose sum is σ = 83622651840. Its totient is φ = 4151181312.

The previous prime is 19675393883. The next prime is 19675393939. The reversal of 19675393920 is 2939357691.

It is a happy number.

19675393920 is a `hidden beast` number, since 19 + 6 + 7 + 539 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×196753939202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 505392 + ... + 542928.

Almost surely, 219675393920 is an apocalyptic number.

19675393920 is a gapful number since it is divisible by the number (10) 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 19675393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41811325920).

19675393920 is an abundant number, since it is smaller than the sum of its proper divisors (63947257920).

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

19675393920 is a wasteful number, since it uses less digits than its factorization.

19675393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37582 (or 37567 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

It can be divided in two parts, 19675 and 393920, that added together give a triangular number (413595 = T909).

The spelling of 19675393920 in words is "nineteen billion, six hundred seventy-five million, three hundred ninety-three thousand, nine hundred twenty".