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2553401344 = 2121379607
BaseRepresentation
bin1001100000110001…
…1101000000000000
320120221200020011011
42120030131000000
520212132320334
61101212130304
7120163360534
oct23014350000
96527606134
102553401344
1110a036824a
125b3166994
13319008a90
141a3191bc4
15ee278564
hex9831d000

2553401344 has 104 divisors (see below), whose sum is σ = 5577743360. Its totient is φ = 1161658368.

The previous prime is 2553401269. The next prime is 2553401359. The reversal of 2553401344 is 4431043552.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

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, 4206289 + ... + 4206895.

Almost surely, 22553401344 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 2553401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788871680).

2553401344 is an abundant number, since it is smaller than the sum of its proper divisors (3024342016).

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

2553401344 is an equidigital number, since it uses as much as digits as its factorization.

2553401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 2553401344 is about 50531.1917927927. The cubic root of 2553401344 is about 1366.8043769489.

Adding to 2553401344 its reverse (4431043552), we get a palindrome (6984444896).

The spelling of 2553401344 in words is "two billion, five hundred fifty-three million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 316 416 512 607 632 832 1024 1027 1214 1264 1664 2048 2054 2428 2528 3328 4096 4108 4856 5056 6656 7891 8216 9712 10112 13312 15782 16432 19424 20224 26624 31564 32864 38848 40448 47953 53248 63128 65728 77696 80896 95906 126256 131456 155392 161792 191812 252512 262912 310784 323584 383624 505024 525824 621568 623389 767248 1010048 1051648 1243136 1246778 1534496 2020096 2103296 2486272 2493556 3068992 4040192 4206592 4987112 6137984 8080384 9974224 12275968 16160768 19948448 24551936 32321536 39896896 49103872 79793792 98207744 159587584 196415488 319175168 638350336 1276700672 2553401344