Search a number
-
+
11552510664 = 2332160451537
BaseRepresentation
bin10101100001001010…
…10101001011001000
31002211010002100101100
422300211111023020
5142124420320124
65150202221400
7556165502052
oct126045251310
932733070340
1011552510664
114999100282
1222a4ab4860
131121536836
147b84148d2
1547932b1c9
hex2b09552c8

11552510664 has 24 divisors (see below), whose sum is σ = 31288049910. Its totient is φ = 3850836864.

The previous prime is 11552510657. The next prime is 11552510693. The reversal of 11552510664 is 46601525511.

11552510664 is a `hidden beast` number, since 115 + 525 + 10 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11479408164 + 73102500 = 107142^2 + 8550^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80225697 + ... + 80225840.

Almost surely, 211552510664 is an apocalyptic number.

It is an amenable number.

11552510664 is an abundant number, since it is smaller than the sum of its proper divisors (19735539246).

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

11552510664 is a wasteful number, since it uses less digits than its factorization.

11552510664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160451549 (or 160451542 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11552510664 in words is "eleven billion, five hundred fifty-two million, five hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 160451537 320903074 481354611 641806148 962709222 1283612296 1444063833 1925418444 2888127666 3850836888 5776255332 11552510664