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649834960104 = 2332111511543017
BaseRepresentation
bin10010111010011010010…
…11101001010011101000
32022010100010010022221100
421131031023221103220
541121330222210404
61214310254241400
764643342010621
oct11351513512350
92263303108840
10649834960104
11230658991740
12a5b384b6260
1349382463795
1423648ad2a48
1511d84eb1d39
hex974d2e94e8

649834960104 has 96 divisors (see below), whose sum is σ = 1921241125440. Its totient is φ = 196788998400.

The previous prime is 649834960097. The next prime is 649834960129. The reversal of 649834960104 is 401069438946.

It is a happy number.

649834960104 is a `hidden beast` number, since 6 + 49 + 8 + 3 + 496 + 0 + 104 = 666.

649834960104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925204 + ... + 1468220.

It is an arithmetic number, because the mean of its divisors is an integer number (20012928390).

Almost surely, 2649834960104 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 649834960104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960620562720).

649834960104 is an abundant number, since it is smaller than the sum of its proper divisors (1271406165336).

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

649834960104 is a wasteful number, since it uses less digits than its factorization.

649834960104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544551 (or 544544 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 649834960104 in words is "six hundred forty-nine billion, eight hundred thirty-four million, nine hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1511 3022 4533 6044 9066 12088 13599 16621 18132 27198 33242 36264 49863 54396 66484 99726 108792 132968 149589 199452 299178 398904 543017 598356 1086034 1196712 1629051 2172068 3258102 4344136 4887153 5973187 6516204 9774306 11946374 13032408 17919561 19548612 23892748 35839122 39097224 47785496 53758683 71678244 107517366 143356488 215034732 430069464 820498687 1640997374 2461496061 3281994748 4922992122 6563989496 7384488183 9025485557 9845984244 14768976366 18050971114 19691968488 27076456671 29537952732 36101942228 54152913342 59075905464 72203884456 81229370013 108305826684 162458740026 216611653368 324917480052 649834960104