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6644136264 = 233417195101
BaseRepresentation
bin1100011000000010…
…10111100101001000
3122011001010002111220
412030001113211020
5102101344330024
63015142522040
7323435140443
oct61401274510
918131102456
106644136264
1128aa494a07
121355136320
1381b678a9c
144705a465a
1528d472e79
hex18c057948

6644136264 has 64 divisors (see below), whose sum is σ = 17255306880. Its totient is φ = 2130240000.

The previous prime is 6644136229. The next prime is 6644136281. The reversal of 6644136264 is 4626314466.

It is a nude number because it is divisible by every one of its digits.

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, 22314 + ... + 117414.

It is an arithmetic number, because the mean of its divisors is an integer number (269614170).

Almost surely, 26644136264 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 6644136264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8627653440).

6644136264 is an abundant number, since it is smaller than the sum of its proper divisors (10611170616).

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

6644136264 is a wasteful number, since it uses less digits than its factorization.

6644136264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95222 (or 95218 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 6644136264 is about 81511.5713503304. The cubic root of 6644136264 is about 1879.9494727631.

The spelling of 6644136264 in words is "six billion, six hundred forty-four million, one hundred thirty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 71 82 123 142 164 213 246 284 328 426 492 568 852 984 1704 2911 5822 8733 11644 17466 23288 34932 69864 95101 190202 285303 380404 570606 760808 1141212 2282424 3899141 6752171 7798282 11697423 13504342 15596564 20256513 23394846 27008684 31193128 40513026 46789692 54017368 81026052 93579384 162052104 276839011 553678022 830517033 1107356044 1661034066 2214712088 3322068132 6644136264