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9140076036 = 2232731397587
BaseRepresentation
bin10001000001100101…
…00111111000000100
3212120222122222012200
420200302213320010
5122204324413121
64110543314500
7442333236000
oct104062477004
925528588180
109140076036
113970375453
121930baba30
13b287b6120
14629c79700
1538764aa26
hex220ca7e04

9140076036 has 288 divisors, whose sum is σ = 29365190400. Its totient is φ = 2381654016.

The previous prime is 9140076031. The next prime is 9140076059. The reversal of 9140076036 is 6306700419.

9140076036 is a `hidden beast` number, since 9 + 1 + 40 + 0 + 7 + 603 + 6 = 666.

It is a super-2 number, since 2×91400760362 (a number of 21 digits) contains 22 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 (9140076031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15570535 + ... + 15571121.

Almost surely, 29140076036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9140076036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682595200).

9140076036 is an abundant number, since it is smaller than the sum of its proper divisors (20225114364).

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

9140076036 is a wasteful number, since it uses less digits than its factorization.

9140076036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9140076036 is about 95603.7448848109. The cubic root of 9140076036 is about 2090.8197936267.

The spelling of 9140076036 in words is "nine billion, one hundred forty million, seventy-six thousand, thirty-six".