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2631325344 = 253531035021
BaseRepresentation
bin1001110011010110…
…1101011010100000
320210101022011210020
42130311231122200
520342104402334
61113034233440
7122130616314
oct23465553240
96711264706
102631325344
11113035074a
12615285880
1332c1c025b
141ad677b44
1510601be49
hex9cd6d6a0

2631325344 has 96 divisors (see below), whose sum is σ = 7107295104. Its totient is φ = 852034560.

The previous prime is 2631325339. The next prime is 2631325351. The reversal of 2631325344 is 4435231362.

It is a happy number.

2631325344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 521554 + ... + 526574.

It is an arithmetic number, because the mean of its divisors is an integer number (74034324).

Almost surely, 22631325344 is an apocalyptic number.

2631325344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553647552).

2631325344 is an abundant number, since it is smaller than the sum of its proper divisors (4475969760).

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

2631325344 is a wasteful number, since it uses less digits than its factorization.

2631325344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5182 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 2631325344 is about 51296.4457248258. The cubic root of 2631325344 is about 1380.5692085805.

The spelling of 2631325344 in words is "two billion, six hundred thirty-one million, three hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 103 106 159 206 212 309 318 412 424 618 636 824 848 1236 1272 1648 1696 2472 2544 3296 4944 5021 5088 5459 9888 10042 10918 15063 16377 20084 21836 30126 32754 40168 43672 60252 65508 80336 87344 120504 131016 160672 174688 241008 262032 266113 482016 517163 524064 532226 798339 1034326 1064452 1551489 1596678 2068652 2128904 3102978 3193356 4137304 4257808 6205956 6386712 8274608 8515616 12411912 12773424 16549216 24823824 25546848 27409639 49647648 54819278 82228917 109638556 164457834 219277112 328915668 438554224 657831336 877108448 1315662672 2631325344