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19007660952 = 233272192331217
BaseRepresentation
bin10001101100111100…
…011110001110011000
31211001200021012222200
4101230330132032120
5302411430122302
612422040050200
71242012311100
oct215474361630
954050235880
1019007660952
118074369005
123825763960
131a3bc20777
14cc45b0200
15763a9e81c
hex46cf1e398

19007660952 has 288 divisors, whose sum is σ = 63358167600. Its totient is φ = 5118640128.

The previous prime is 19007660909. The next prime is 19007660977. The reversal of 19007660952 is 25906670091.

It is a happy number.

It is a super-2 number, since 2×190076609522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19007660898 and 19007660907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15617848 + ... + 15619064.

Almost surely, 219007660952 is an apocalyptic number.

19007660952 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 19007660952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31679083800).

19007660952 is an abundant number, since it is smaller than the sum of its proper divisors (44350506648).

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

19007660952 is a wasteful number, since it uses less digits than its factorization.

19007660952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 19007660952 in words is "nineteen billion, seven million, six hundred sixty thousand, nine hundred fifty-two".