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2587920064 = 261721111273
BaseRepresentation
bin1001101001000000…
…1000011011000000
320200100121221221021
42122100020123000
520300001420224
61104444035224
7121062646312
oct23220103300
96610557837
102587920064
1111088a4714
12602832b14
13323203762
141a79b97b2
151022e61e4
hex9a4086c0

2587920064 has 56 divisors (see below), whose sum is σ = 5463741168. Its totient is φ = 1211965440.

The previous prime is 2587920053. The next prime is 2587920073. The reversal of 2587920064 is 4600297852.

It is a self number, because there is not a number n which added to its sum of digits gives 2587920064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223932 + ... + 235204.

Almost surely, 22587920064 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 2587920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731870584).

2587920064 is an abundant number, since it is smaller than the sum of its proper divisors (2875821104).

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

2587920064 is a wasteful number, since it uses less digits than its factorization.

2587920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11513 (or 11503 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 2587920064 is about 50871.6037097318. The cubic root of 2587920064 is about 1372.9359778769.

The spelling of 2587920064 in words is "two billion, five hundred eighty-seven million, nine hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 211 272 422 544 844 1088 1688 3376 3587 6752 7174 11273 13504 14348 22546 28696 45092 57392 90184 114784 180368 191641 229568 360736 383282 721472 766564 1533128 2378603 3066256 4757206 6132512 9514412 12265024 19028824 38057648 40436251 76115296 80872502 152230592 161745004 323490008 646980016 1293960032 2587920064