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3013307136 = 2833733141
BaseRepresentation
bin1011001110011011…
…0110101100000000
321210000001212022000
42303212312230000
522132401312021
61215001344000
7134446455000
oct26346665400
97700055260
103013307136
111306a2a284
12701198000
13390393498
142082ac000
15129821b26
hexb39b6b00

3013307136 has 576 divisors, whose sum is σ = 10988544000. Its totient is φ = 812851200.

The previous prime is 3013307117. The next prime is 3013307189. The reversal of 3013307136 is 6317033103.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73495276 + ... + 73495316.

Almost surely, 23013307136 is an apocalyptic number.

3013307136 is a gapful number since it is divisible by the number (36) 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 3013307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494272000).

3013307136 is an abundant number, since it is smaller than the sum of its proper divisors (7975236864).

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

3013307136 is an equidigital number, since it uses as much as digits as its factorization.

3013307136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 3013307136 is about 54893.5983152863. The cubic root of 3013307136 is about 1444.3788929586.

The spelling of 3013307136 in words is "three billion, thirteen million, three hundred seven thousand, one hundred thirty-six".