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6434038060704 = 253323323774057
BaseRepresentation
bin101110110100000101010…
…0011011001011010100000
3211210002101011201120012000
41131220022203121122200
51320403402220420304
621403431205004000
71232562314104602
oct135501243313240
924702334646160
106434038060704
112060729828631
1287ab623b3600
1337895b81c857
141835a281b172
15b256dc4c939
hex5da0a8d96a0

6434038060704 has 96 divisors (see below), whose sum is σ = 19581855027840. Its totient is φ = 2051432418816.

The previous prime is 6434038060661. The next prime is 6434038060711. The reversal of 6434038060704 is 4070608304346.

6434038060704 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 0 + 38 + 0 + 607 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 6434038060704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161867157 + ... + 161906900.

It is an arithmetic number, because the mean of its divisors is an integer number (203977656540).

Almost surely, 26434038060704 is an apocalyptic number.

It is an amenable number.

6434038060704 is an abundant number, since it is smaller than the sum of its proper divisors (13147816967136).

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

6434038060704 is a wasteful number, since it uses less digits than its factorization.

6434038060704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323774099 (or 323774085 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 6434038060704 in words is "six trillion, four hundred thirty-four billion, thirty-eight million, sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 323774057 647548114 971322171 1295096228 1942644342 2590192456 2913966513 3885288684 5180384912 5827933026 7446803311 7770577368 8741899539 10360769824 11655866052 14893606622 15541154736 17483799078 22340409933 23311732104 29787213244 31082309472 34967598156 44680819866 46623464208 59574426488 67021229799 69935196312 89361639732 93246928416 119148852976 134042459598 139870392624 178723279464 201063689397 238297705952 268084919196 279740785248 357446558928 402127378794 536169838392 714893117856 804254757588 1072339676784 1608509515176 2144679353568 3217019030352 6434038060704