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612074664 = 2333171931283
BaseRepresentation
bin100100011110111…
…000010010101000
31120122201121121000
4210132320102220
52223142342124
6140422515000
721111356145
oct4436702250
91518647530
10612074664
11294555833
12150b95a60
1399a65876
145b40b3cc
1538b056c9
hex247b84a8

612074664 has 256 divisors, whose sum is σ = 1963008000. Its totient is φ = 175426560.

The previous prime is 612074657. The next prime is 612074669. The reversal of 612074664 is 466470216.

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 (612074669) 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 63 ways as a sum of consecutive naturals, for example, 2162667 + ... + 2162949.

It is an arithmetic number, because the mean of its divisors is an integer number (7668000).

Almost surely, 2612074664 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 612074664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981504000).

612074664 is an abundant number, since it is smaller than the sum of its proper divisors (1350933336).

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

612074664 is a wasteful number, since it uses less digits than its factorization.

612074664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 612074664 is about 24740.1427643415. The cubic root of 612074664 is about 849.0530002249.

The spelling of 612074664 in words is "six hundred twelve million, seventy-four thousand, six hundred sixty-four".