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11007375138 = 232611520841
BaseRepresentation
bin10100100000001011…
…10011011100100010
31001102010022121000200
422100011303130202
5140020342001023
65020130130030
7536526100464
oct122005633442
931363277020
1011007375138
114739415951
122172420916
13106560a536
14765c70134
15446549743
hex290173722

11007375138 has 12 divisors (see below), whose sum is σ = 23849312838. Its totient is φ = 3669125040.

The previous prime is 11007375103. The next prime is 11007375139. The reversal of 11007375138 is 83157370011.

It is a happy number.

11007375138 is a `hidden beast` number, since 1 + 100 + 7 + 37 + 513 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8936488089 + 2070887049 = 94533^2 + 45507^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11007375139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305760403 + ... + 305760438.

Almost surely, 211007375138 is an apocalyptic number.

11007375138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11007375138 is an abundant number, since it is smaller than the sum of its proper divisors (12841937700).

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

11007375138 is a wasteful number, since it uses less digits than its factorization.

11007375138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611520849 (or 611520846 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 11007375138 in words is "eleven billion, seven million, three hundred seventy-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 611520841 1223041682 1834562523 3669125046 5503687569 11007375138