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6690130304 = 2711133171153
BaseRepresentation
bin1100011101100001…
…10100100110000000
3122021020122211110212
412032300310212000
5102200133132204
63023504413252
7324534112034
oct61660644600
918236584425
106690130304
112923449a10
121368617228
138280609b0
144767381c4
1529250ac6e
hex18ec34980

6690130304 has 128 divisors (see below), whose sum is σ = 15721080480. Its totient is φ = 2795765760.

The previous prime is 6690130283. The next prime is 6690130319. The reversal of 6690130304 is 4030310966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5801792 + ... + 5802944.

Almost surely, 26690130304 is an apocalyptic number.

6690130304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6690130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860540240).

6690130304 is an abundant number, since it is smaller than the sum of its proper divisors (9030950176).

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

6690130304 is a wasteful number, since it uses less digits than its factorization.

6690130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 6690130304 is about 81793.2167358639. The cubic root of 6690130304 is about 1884.2774852246.

The spelling of 6690130304 in words is "six billion, six hundred ninety million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 317 352 416 572 634 704 832 1144 1153 1268 1408 1664 2288 2306 2536 3487 4121 4576 4612 5072 6974 8242 9152 9224 10144 12683 13948 14989 16484 18304 18448 20288 25366 27896 29978 32968 36896 40576 45331 50732 55792 59956 65936 73792 90662 101464 111584 119912 131872 147584 164879 181324 202928 223168 239824 263744 329758 362648 365501 405856 446336 479648 527488 659516 725296 731002 811712 959296 1319032 1450592 1462004 1623424 1918592 2638064 2901184 2924008 4020511 4751513 5276128 5802368 5848016 8041022 9503026 10552256 11696032 16082044 19006052 21104512 23392064 32164088 38012104 46784128 52266643 64328176 76024208 104533286 128656352 152048416 209066572 257312704 304096832 418133144 514625408 608193664 836266288 1672532576 3345065152 6690130304