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643033064 = 2337101137157
BaseRepresentation
bin100110010100111…
…110011111101000
31122210222110112102
4212110332133220
52304104024224
6143450232532
721635455652
oct4624763750
91583873472
10643033064
112aaa80293
1215b425748
13a32b4b4b
14615896d2
153b6bd4ae
hex2653e7e8

643033064 has 64 divisors (see below), whose sum is σ = 1267684560. Its totient is φ = 305510400.

The previous prime is 643033049. The next prime is 643033073. The reversal of 643033064 is 460330346.

It can be written as a sum of positive squares in 8 ways, for example, as 576480100 + 66552964 = 24010^2 + 8158^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4095674 + ... + 4095830.

Almost surely, 2643033064 is an apocalyptic number.

It is an amenable number.

643033064 is a deficient number, since it is larger than the sum of its proper divisors (624651496).

643033064 is a wasteful number, since it uses less digits than its factorization.

643033064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The square root of 643033064 is about 25358.0966162683. The cubic root of 643033064 is about 863.1330932305.

The spelling of 643033064 in words is "six hundred forty-three million, thirty-three thousand, sixty-four".

Divisors: 1 2 4 8 37 74 101 137 148 157 202 274 296 314 404 548 628 808 1096 1256 3737 5069 5809 7474 10138 11618 13837 14948 15857 20276 21509 23236 27674 29896 31714 40552 43018 46472 55348 63428 86036 110696 126856 172072 511969 586709 795833 1023938 1173418 1591666 2047876 2172409 2346836 3183332 4095752 4344818 4693672 6366664 8689636 17379272 80379133 160758266 321516532 643033064