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11512257764 = 2272172134129
BaseRepresentation
bin10101011100010111…
…10001110011100100
31002201022100021210012
422232023301303210
5142034114222024
65142203345352
7555166401500
oct125613616344
932638307705
1011512257764
114978407717
122293522258
1311160b1b57
147b2d37300
15475a2950e
hex2ae2f1ce4

11512257764 has 36 divisors (see below), whose sum is σ = 23449972140. Its totient is φ = 4930813440.

The previous prime is 11512257763. The next prime is 11512257787. The reversal of 11512257764 is 46775221511.

It can be written as a sum of positive squares in 2 ways, for example, as 4754102500 + 6758155264 = 68950^2 + 82208^2 .

It is not an unprimeable number, because it can be changed into a prime (11512257763) 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, 320252 + ... + 354380.

It is an arithmetic number, because the mean of its divisors is an integer number (651388115).

Almost surely, 211512257764 is an apocalyptic number.

11512257764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11512257764 is an abundant number, since it is smaller than the sum of its proper divisors (11937714376).

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

11512257764 is a wasteful number, since it uses less digits than its factorization.

11512257764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35868 (or 35859 counting only the distinct ones).

The product of its digits is 117600, while the sum is 41.

The spelling of 11512257764 in words is "eleven billion, five hundred twelve million, two hundred fifty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 1721 3442 6884 12047 24094 34129 48188 68258 84329 136516 168658 238903 337316 477806 955612 1672321 3344642 6689284 58736009 117472018 234944036 411152063 822304126 1644608252 2878064441 5756128882 11512257764