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11531074464 = 2534713193183
BaseRepresentation
bin10101011110100111…
…00011101110100000
31002202121202021110000
422233103203232200
5142103423340324
65144114540000
7555515341620
oct125723435640
932677667400
1011531074464
114987a99a08
122299897600
131119c6c7b0
147b5634880
154774e49c9
hex2af4e3ba0

11531074464 has 960 divisors, whose sum is σ = 45898997760. Its totient is φ = 2754570240.

The previous prime is 11531074459. The next prime is 11531074469. The reversal of 11531074464 is 46447013511.

11531074464 is a `hidden beast` number, since 11 + 531 + 0 + 74 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11531074459) and next prime (11531074469).

It is a super-3 number, since 3×115310744643 (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11531074469) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138928567 + ... + 138928649.

It is an arithmetic number, because the mean of its divisors is an integer number (47811456).

Almost surely, 211531074464 is an apocalyptic number.

11531074464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11531074464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22949498880).

11531074464 is an abundant number, since it is smaller than the sum of its proper divisors (34367923296).

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

11531074464 is a wasteful number, since it uses less digits than its factorization.

11531074464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 11531074464 its reverse (46447013511), we get a palindrome (57978087975).

The spelling of 11531074464 in words is "eleven billion, five hundred thirty-one million, seventy-four thousand, four hundred sixty-four".