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19132157408 = 25721321731137
BaseRepresentation
bin10001110100010111…
…011000110111100000
31211101100112022000112
4101310113120313200
5303140313014113
612442244310452
71245053440400
oct216427306740
954340468015
1019132157408
118128671041
12385b3a2428
131a5b960200
14cd6d3a800
1576e9925a8
hex4745d8de0

19132157408 has 432 divisors, whose sum is σ = 52235777664. Its totient is φ = 6843432960.

The previous prime is 19132157381. The next prime is 19132157441. The reversal of 19132157408 is 80475123191.

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 71 ways as a sum of consecutive naturals, for example, 139650716 + ... + 139650852.

It is an arithmetic number, because the mean of its divisors is an integer number (120916152).

Almost surely, 219132157408 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 19132157408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26117888832).

19132157408 is an abundant number, since it is smaller than the sum of its proper divisors (33103620256).

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

19132157408 is a wasteful number, since it uses less digits than its factorization.

19132157408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 19132157408 in words is "nineteen billion, one hundred thirty-two million, one hundred fifty-seven thousand, four hundred eight".