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2566064864 = 251117571751
BaseRepresentation
bin1001100011110011…
…0000101011100000
320121211111121020102
42120330300223200
520223403033424
61102343401532
7120406122446
oct23074605340
96554447212
102566064864
1110a7527570
125b74532a8
1331b820a9c
141a4b2ab96
1510042a7ae
hex98f30ae0

2566064864 has 96 divisors (see below), whose sum is σ = 5853399552. Its totient is φ = 1094400000.

The previous prime is 2566064833. The next prime is 2566064873. The reversal of 2566064864 is 4684606652.

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, 3416489 + ... + 3417239.

It is an arithmetic number, because the mean of its divisors is an integer number (60972912).

Almost surely, 22566064864 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 2566064864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926699776).

2566064864 is an abundant number, since it is smaller than the sum of its proper divisors (3287334688).

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

2566064864 is a wasteful number, since it uses less digits than its factorization.

2566064864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The square root of 2566064864 is about 50656.3408074448. The cubic root of 2566064864 is about 1369.0601940671.

The spelling of 2566064864 in words is "two billion, five hundred sixty-six million, sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 571 748 751 1142 1496 1502 2284 2992 3004 4568 5984 6008 6281 8261 9136 9707 12016 12562 12767 16522 18272 19414 24032 25124 25534 33044 38828 50248 51068 66088 77656 100496 102136 106777 132176 140437 155312 200992 204272 213554 264352 280874 310624 408544 427108 428821 561748 854216 857642 1123496 1708432 1715284 2246992 3416864 3430568 4493984 4717031 6861136 7289957 9434062 13722272 14579914 18868124 29159828 37736248 58319656 75472496 80189527 116639312 150944992 160379054 233278624 320758108 641516216 1283032432 2566064864