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2590040064 = 2133105389
BaseRepresentation
bin1001101001100000…
…1110000000000000
320200111121200000210
42122120032000000
520301022240224
61105001314120
7121116656133
oct23230160000
96614550023
102590040064
11110a012487
12603495940
133237966b1
141a7dac21a
151025b4429
hex9a60e000

2590040064 has 56 divisors (see below), whose sum is σ = 6906417480. Its totient is φ = 863338496.

The previous prime is 2590040021. The next prime is 2590040129. The reversal of 2590040064 is 4600400952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28119 + ... + 77270.

Almost surely, 22590040064 is an apocalyptic number.

2590040064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2590040064 is an abundant number, since it is smaller than the sum of its proper divisors (4316377416).

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

2590040064 is an equidigital number, since it uses as much as digits as its factorization.

2590040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105418 (or 105394 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2590040064 is about 50892.4362160037. The cubic root of 2590040064 is about 1373.3107743385.

The spelling of 2590040064 in words is "two billion, five hundred ninety million, forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 24576 105389 210778 316167 421556 632334 843112 1264668 1686224 2529336 3372448 5058672 6744896 10117344 13489792 20234688 26979584 40469376 53959168 80938752 107918336 161877504 215836672 323755008 431673344 647510016 863346688 1295020032 2590040064