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2644463264 = 25413375981
BaseRepresentation
bin1001110110011111…
…0100111010100000
320211022000122121212
42131213310322200
520403440311024
61114224005252
7122350365302
oct23547647240
96738018555
102644463264
111137804433
12619760828
13331b40181
141b12d7972
15107264a0e
hex9d9f4ea0

2644463264 has 48 divisors (see below), whose sum is σ = 5349989736. Its totient is φ = 1285939200.

The previous prime is 2644463243. The next prime is 2644463273. The reversal of 2644463264 is 4623644462.

It can be written as a sum of positive squares in 4 ways, for example, as 533979664 + 2110483600 = 23108^2 + 45940^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

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 7 ways as a sum of consecutive naturals, for example, 439154 + ... + 445134.

Almost surely, 22644463264 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 2644463264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674994868).

2644463264 is an abundant number, since it is smaller than the sum of its proper divisors (2705526472).

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

2644463264 is a wasteful number, since it uses less digits than its factorization.

2644463264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6361 counting only the distinct ones).

The product of its digits is 663552, while the sum is 41.

The square root of 2644463264 is about 51424.3450517360. The cubic root of 2644463264 is about 1382.8630722179.

The spelling of 2644463264 in words is "two billion, six hundred forty-four million, four hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 337 656 674 1312 1348 2696 5392 5981 10784 11962 13817 23924 27634 47848 55268 95696 110536 191392 221072 245221 442144 490442 980884 1961768 2015597 3923536 4031194 7847072 8062388 16124776 32249552 64499104 82639477 165278954 330557908 661115816 1322231632 2644463264