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4916339904 = 26377151521
BaseRepresentation
bin1001001010000100…
…10110010011000000
3110200121221221111010
410211002112103000
540032040334104
62131502120520
7232555125330
oct44502262300
913617857433
104916339904
1120a3166a33
12b52580140
13604719588
14348d250c0
151db92d489
hex1250964c0

4916339904 has 112 divisors (see below), whose sum is σ = 15075749376. Its totient is φ = 1384857600.

The previous prime is 4916339873. The next prime is 4916339959. The reversal of 4916339904 is 4099336194.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69664 + ... + 121184.

Almost surely, 24916339904 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 4916339904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537874688).

4916339904 is an abundant number, since it is smaller than the sum of its proper divisors (10159409472).

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

4916339904 is a wasteful number, since it uses less digits than its factorization.

4916339904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51614 (or 51604 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 4916339904 is about 70116.6164614352. The cubic root of 4916339904 is about 1700.3851381145.

The spelling of 4916339904 in words is "four billion, nine hundred sixteen million, three hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1136 1344 1491 1704 1988 2272 2982 3408 3976 4544 5964 6816 7952 11928 13632 15904 23856 31808 47712 51521 95424 103042 154563 206084 309126 360647 412168 618252 721294 824336 1081941 1236504 1442588 1648672 2163882 2473008 2885176 3297344 3657991 4327764 4946016 5770352 7315982 8655528 9892032 10973973 11540704 14631964 17311056 21947946 23081408 25605937 29263928 34622112 43895892 51211874 58527856 69244224 76817811 87791784 102423748 117055712 153635622 175583568 204847496 234111424 307271244 351167136 409694992 614542488 702334272 819389984 1229084976 1638779968 2458169952 4916339904