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19382971608 = 2332711213231063
BaseRepresentation
bin10010000011010100…
…001010110011011000
31212000211110222102100
4102003110022303120
5304144020042413
612523204203400
71254220353210
oct220324126330
955024428370
1019382971608
118247200500
12390b399560
131a9b8c9390
14d1c389240
157869d7a73
hex48350acd8

19382971608 has 576 divisors, whose sum is σ = 74174929920. Its totient is φ = 4441029120.

The previous prime is 19382971603. The next prime is 19382971627. The reversal of 19382971608 is 80617928391.

19382971608 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 29 + 7 + 1 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19382971603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18233685 + ... + 18234747.

It is an arithmetic number, because the mean of its divisors is an integer number (128775920).

Almost surely, 219382971608 is an apocalyptic number.

19382971608 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 19382971608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37087464960).

19382971608 is an abundant number, since it is smaller than the sum of its proper divisors (54791958312).

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

19382971608 is a wasteful number, since it uses less digits than its factorization.

19382971608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 19382971608 in words is "nineteen billion, three hundred eighty-two million, nine hundred seventy-one thousand, six hundred eight".