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614120664 = 233311316301
BaseRepresentation
bin100100100110101…
…011110011011000
31120210120120011210
4210212223303120
52224203330124
6140534423120
721134640153
oct4446536330
91523516153
10614120664
11295722a43
12151801aa0
139a300c11
145b7c0c9a
1538daba29
hex249abcd8

614120664 has 64 divisors (see below), whose sum is σ = 1597178880. Its totient is φ = 196560000.

The previous prime is 614120657. The next prime is 614120687. The reversal of 614120664 is 466021416.

614120664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94314 + ... + 100614.

It is an arithmetic number, because the mean of its divisors is an integer number (24955920).

Almost surely, 2614120664 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 614120664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798589440).

614120664 is an abundant number, since it is smaller than the sum of its proper divisors (983058216).

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

614120664 is a wasteful number, since it uses less digits than its factorization.

614120664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 614120664 is about 24781.4580684834. The cubic root of 614120664 is about 849.9979995339.

It can be divided in two parts, 614 and 120664, that added together give a triangular number (121278 = T492).

The spelling of 614120664 in words is "six hundred fourteen million, one hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 131 186 248 262 372 393 524 744 786 1048 1572 3144 4061 6301 8122 12183 12602 16244 18903 24366 25204 32488 37806 48732 50408 75612 97464 151224 195331 390662 585993 781324 825431 1171986 1562648 1650862 2343972 2476293 3301724 4687944 4952586 6603448 9905172 19810344 25588361 51176722 76765083 102353444 153530166 204706888 307060332 614120664