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9052047144 = 2332733591021
BaseRepresentation
bin10000110111000101…
…10100011100101000
3212100212000122021100
420123202310130220
5122014311002034
64054120441400
7440214063000
oct103342643450
925325018240
109052047144
11392570aaa8
121907619260
13b134a441a
1461c2c3000
1537ea5d099
hex21b8b4728

9052047144 has 192 divisors, whose sum is σ = 28697760000. Its totient is φ = 2576568960.

The previous prime is 9052047143. The next prime is 9052047149. The reversal of 9052047144 is 4417402509.

It is a happy number.

9052047144 is a `hidden beast` number, since 90 + 520 + 4 + 7 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9052047099 and 9052047108.

It is not an unprimeable number, because it can be changed into a prime (9052047143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8865354 + ... + 8866374.

It is an arithmetic number, because the mean of its divisors is an integer number (149467500).

Almost surely, 29052047144 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 9052047144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880000).

9052047144 is an abundant number, since it is smaller than the sum of its proper divisors (19645712856).

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

9052047144 is a wasteful number, since it uses less digits than its factorization.

9052047144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1392 counting only the distinct ones).

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

The square root of 9052047144 is about 95142.2468937958. The cubic root of 9052047144 is about 2084.0858377092.

The spelling of 9052047144 in words is "nine billion, fifty-two million, forty-seven thousand, one hundred forty-four".