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11505430152 = 2332712250671
BaseRepresentation
bin10101011011100011…
…01110111010001000
31002200211111102001200
422231301232322020
5142030342231102
65141401144200
7555054354066
oct125561567210
932624442050
1011505430152
114974573a67
12229118b060
131114861248
147b207b036
1547512b51c
hex2adc6ee88

11505430152 has 48 divisors (see below), whose sum is σ = 31599434880. Its totient is φ = 3781125600.

The previous prime is 11505430151. The next prime is 11505430163. The reversal of 11505430152 is 25103450511.

11505430152 is a `hidden beast` number, since 1 + 1 + 505 + 4 + 3 + 0 + 152 = 666.

It is not an unprimeable number, because it can be changed into a prime (11505430151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1120224 + ... + 1130447.

It is an arithmetic number, because the mean of its divisors is an integer number (658321560).

Almost surely, 211505430152 is an apocalyptic number.

11505430152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11505430152 is an abundant number, since it is smaller than the sum of its proper divisors (20094004728).

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

11505430152 is a wasteful number, since it uses less digits than its factorization.

11505430152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250754 (or 2250747 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 11505430152 its reverse (25103450511), we get a palindrome (36608880663).

The spelling of 11505430152 in words is "eleven billion, five hundred five million, four hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 2250671 4501342 6752013 9002684 13504026 18005368 20256039 27008052 40512078 54016104 81024156 159797641 162048312 319595282 479392923 639190564 958785846 1278381128 1438178769 1917571692 2876357538 3835143384 5752715076 11505430152