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6690633264 = 243372316073
BaseRepresentation
bin1100011101100101…
…01111011000110000
3122021021121101102000
412032302233120300
5102200300231024
63023523254000
7324541305300
oct61662573060
918237541360
106690633264
112923762887
12136881a300
138281a88c3
14476829600
152925a9cc9
hex18ecaf630

6690633264 has 120 divisors (see below), whose sum is σ = 22340110320. Its totient is φ = 1911603456.

The previous prime is 6690633263. The next prime is 6690633269. The reversal of 6690633264 is 4623360966.

It is a happy number.

6690633264 is a `hidden beast` number, since 6 + 6 + 9 + 0 + 633 + 2 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (6690633263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136869 + ... + 179204.

It is an arithmetic number, because the mean of its divisors is an integer number (186167586).

Almost surely, 26690633264 is an apocalyptic number.

It is an amenable number.

6690633264 is an abundant number, since it is smaller than the sum of its proper divisors (15649477056).

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

6690633264 is a wasteful number, since it uses less digits than its factorization.

6690633264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316104 (or 316085 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 6690633264 is about 81796.2912606678. The cubic root of 6690633264 is about 1884.3247036599.

The spelling of 6690633264 in words is "six billion, six hundred ninety million, six hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 316073 632146 948219 1264292 1896438 2212511 2528584 2844657 3792876 4425022 5057168 5689314 6637533 7585752 8533971 8850044 11378628 13275066 15171504 15487577 17067942 17700088 19912599 22757256 26550132 30975154 34135884 35400176 39825198 45514512 46462731 53100264 59737797 61950308 68271768 79650396 92925462 106200528 119475594 123900616 136543536 139388193 159300792 185850924 238951188 247801232 278776386 318601584 371701848 418164579 477902376 557552772 743403696 836329158 955804752 1115105544 1672658316 2230211088 3345316632 6690633264