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11053992960 = 21032517103137
BaseRepresentation
bin10100100101101111…
…01000110000000000
31001112101001000122200
422102313220300000
5140114310233320
65024513233200
7540633250503
oct122267506000
931471030580
1011053992960
11476276657a
122185b62800
13107218034a
1476c12713a
1544a6a7290
hex292de8c00

11053992960 has 528 divisors, whose sum is σ = 41247475776. Its totient is φ = 2727346176.

The previous prime is 11053992907. The next prime is 11053992973. The reversal of 11053992960 is 6929935011.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80686012 + ... + 80686148.

Almost surely, 211053992960 is an apocalyptic number.

11053992960 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 11053992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623737888).

11053992960 is an abundant number, since it is smaller than the sum of its proper divisors (30193482816).

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

11053992960 is a wasteful number, since it uses less digits than its factorization.

11053992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

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

The spelling of 11053992960 in words is "eleven billion, fifty-three million, nine hundred ninety-two thousand, nine hundred sixty".