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19270531368 = 233311107229331
BaseRepresentation
bin10001111100100111…
…001111100100101000
31211201222220102102000
4101330213033210220
5303431224000433
612504110211000
71251353546124
oct217447174450
954658812360
1019270531368
118199792490
1238997b3a60
131a8151b3aa
14d0b47a584
1577bbc7113
hex47c9cf928

19270531368 has 256 divisors, whose sum is σ = 59377536000. Its totient is φ = 5742316800.

The previous prime is 19270531337. The next prime is 19270531369. The reversal of 19270531368 is 86313507291.

19270531368 is a `hidden beast` number, since 1 + 9 + 270 + 5 + 313 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (19270531369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58218963 + ... + 58219293.

It is an arithmetic number, because the mean of its divisors is an integer number (231943500).

Almost surely, 219270531368 is an apocalyptic number.

19270531368 is a gapful number since it is divisible by the number (18) 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 19270531368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29688768000).

19270531368 is an abundant number, since it is smaller than the sum of its proper divisors (40107004632).

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

19270531368 is a wasteful number, since it uses less digits than its factorization.

19270531368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 19270531368 in words is "nineteen billion, two hundred seventy million, five hundred thirty-one thousand, three hundred sixty-eight".