Search a number
-
+
10992159360 = 2732571367313
BaseRepresentation
bin10100011110010111…
…10000101010000000
31001101001200112220100
422033023300222000
5140002443044420
65014424042400
7536252545560
oct121713605200
931331615810
1010992159360
114730873026
122169303400
131062410910
14763c2cda0
15445041190
hex28f2f0a80

10992159360 has 768 divisors, whose sum is σ = 47565423360. Its totient is φ = 2277310464.

The previous prime is 10992159341. The next prime is 10992159383. The reversal of 10992159360 is 6395129901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35118564 + ... + 35118876.

It is an arithmetic number, because the mean of its divisors is an integer number (61934145).

Almost surely, 210992159360 is an apocalyptic number.

10992159360 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 10992159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23782711680).

10992159360 is an abundant number, since it is smaller than the sum of its proper divisors (36573264000).

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

10992159360 is a wasteful number, since it uses less digits than its factorization.

10992159360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 10992159360 in words is "ten billion, nine hundred ninety-two million, one hundred fifty-nine thousand, three hundred sixty".