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3717138132 = 2232367728081
BaseRepresentation
bin1101110110001111…
…0000011011010100
3100121001110011220200
43131203300123110
530103041410012
61412503100500
7161054103261
oct33543603324
910531404820
103717138132
111638255994
12878a41730
13473144526
14273962268
1516b4ee3dc
hexdd8f06d4

3717138132 has 36 divisors (see below), whose sum is σ = 9398989236. Its totient is φ = 1238664960.

The previous prime is 3717138121. The next prime is 3717138137. The reversal of 3717138132 is 2318317173.

It can be written as a sum of positive squares in 2 ways, for example, as 1960187076 + 1756951056 = 44274^2 + 41916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3717138137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118332 + ... + 146412.

Almost surely, 23717138132 is an apocalyptic number.

It is an amenable number.

3717138132 is an abundant number, since it is smaller than the sum of its proper divisors (5681851104).

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

3717138132 is a wasteful number, since it uses less digits than its factorization.

3717138132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31768 (or 31763 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 3717138132 is about 60968.3371267415. The cubic root of 3717138132 is about 1549.0647333129.

The spelling of 3717138132 in words is "three billion, seven hundred seventeen million, one hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3677 7354 11031 14708 22062 28081 33093 44124 56162 66186 84243 112324 132372 168486 252729 336972 505458 1010916 103253837 206507674 309761511 413015348 619523022 929284533 1239046044 1858569066 3717138132