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2653931104 = 251143672617
BaseRepresentation
bin1001111000101111…
…1100011001100000
320211221211200001121
42132023330121200
520413401243404
61115202542024
7122524020316
oct23613743140
96757750047
102653931104
1111420907a0
12620967914
13333aa6746
141b26800b6
15107ed4e54
hex9e2fc660

2653931104 has 96 divisors (see below), whose sum is σ = 5921790336. Its totient is φ = 1160248320.

The previous prime is 2653931083. The next prime is 2653931129. The reversal of 2653931104 is 4011393562.

2653931104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2653931104.

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, 1012804 + ... + 1015420.

It is an arithmetic number, because the mean of its divisors is an integer number (61685316).

Almost surely, 22653931104 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 2653931104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960895168).

2653931104 is an abundant number, since it is smaller than the sum of its proper divisors (3267859232).

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

2653931104 is a wasteful number, since it uses less digits than its factorization.

2653931104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 2653931104 is about 51516.3188125860. The cubic root of 2653931104 is about 1384.5114385000.

The spelling of 2653931104 in words is "two billion, six hundred fifty-three million, nine hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 43 44 67 86 88 134 172 176 268 344 352 473 536 688 737 946 1072 1376 1474 1892 2144 2617 2881 2948 3784 5234 5762 5896 7568 10468 11524 11792 15136 20936 23048 23584 28787 31691 41872 46096 57574 63382 83744 92192 112531 115148 126764 175339 225062 230296 253528 350678 450124 460592 507056 701356 900248 921184 1014112 1237841 1402712 1800496 1928729 2475682 2805424 3600992 3857458 4951364 5610848 7539577 7714916 9902728 15079154 15429832 19805456 30158308 30859664 39610912 60316616 61719328 82935347 120633232 165870694 241266464 331741388 663482776 1326965552 2653931104