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2643252564 = 2231937331081
BaseRepresentation
bin1001110110001100…
…1101010101010100
320211012202010212010
42131203031111110
520403133040224
61114142024220
7122334163461
oct23543152524
96735663763
102643252564
111137057857
12619278070
13331808094
141b10a0668
151070c5e29
hex9d8cd554

2643252564 has 48 divisors (see below), whose sum is σ = 6509814080. Its totient is φ = 832446720.

The previous prime is 2643252559. The next prime is 2643252571. The reversal of 2643252564 is 4652523462.

2643252564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69504 + ... + 100584.

Almost surely, 22643252564 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 2643252564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254907040).

2643252564 is an abundant number, since it is smaller than the sum of its proper divisors (3866561516).

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

2643252564 is a wasteful number, since it uses less digits than its factorization.

2643252564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31480 (or 31478 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

The square root of 2643252564 is about 51412.5720422544. The cubic root of 2643252564 is about 1382.6520038181.

The spelling of 2643252564 in words is "two billion, six hundred forty-three million, two hundred fifty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 373 746 1119 1492 2238 4476 7087 14174 21261 28348 31081 42522 62162 85044 93243 124324 186486 372972 590539 1181078 1771617 2362156 3543234 7086468 11593213 23186426 34779639 46372852 69559278 139118556 220271047 440542094 660813141 881084188 1321626282 2643252564