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614149668 = 2233117192
BaseRepresentation
bin100100100110110…
…010111000100100
31120210122000222000
4210212302320210
52224210242133
6140535205300
721135120546
oct4446627044
91523560860
10614149668
11295742810
12151816830
139a311192
145b7cb696
1538db5413
hex249b2e24

614149668 has 72 divisors (see below), whose sum is σ = 1739408160. Its totient is φ = 185847120.

The previous prime is 614149663. The next prime is 614149727. The reversal of 614149668 is 866941416.

614149668 is a `hidden beast` number, since 61 + 41 + 496 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (614149663) 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 23 ways as a sum of consecutive naturals, for example, 853813 + ... + 854531.

Almost surely, 2614149668 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 614149668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869704080).

614149668 is an abundant number, since it is smaller than the sum of its proper divisors (1125258492).

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

614149668 is a wasteful number, since it uses less digits than its factorization.

614149668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 735 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 614149668 is about 24782.0432571651. The cubic root of 614149668 is about 850.0113807011.

The spelling of 614149668 in words is "six hundred fourteen million, one hundred forty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 719 1188 1438 2157 2876 4314 6471 7909 8628 12942 15818 19413 23727 25884 31636 38826 47454 71181 77652 94908 142362 213543 284724 427086 516961 854172 1033922 1550883 2067844 3101766 4652649 5686571 6203532 9305298 11373142 13957947 17059713 18610596 22746284 27915894 34119426 51179139 55831788 68238852 102358278 153537417 204716556 307074834 614149668