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2553314352 = 2433713910343
BaseRepresentation
bin1001100000110000…
…0111110000110000
320120221111210211020
42120030013300300
520212122024402
61101210215440
7120162546111
oct23014076060
96527453736
102553314352
1110a0308956
125b3124580
13318ca82c4
141a316c208
15ee25c8bc
hex98307c30

2553314352 has 80 divisors (see below), whose sum is σ = 6823729920. Its totient is φ = 822064896.

The previous prime is 2553314333. The next prime is 2553314359. The reversal of 2553314352 is 2534133552.

It is not an unprimeable number, because it can be changed into a prime (2553314359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241693 + ... + 252035.

It is an arithmetic number, because the mean of its divisors is an integer number (85296624).

Almost surely, 22553314352 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 2553314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411864960).

2553314352 is an abundant number, since it is smaller than the sum of its proper divisors (4270415568).

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

2553314352 is a wasteful number, since it uses less digits than its factorization.

2553314352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530 (or 10524 counting only the distinct ones).

The product of its digits is 54000, while the sum is 33.

The square root of 2553314352 is about 50530.3310101962. The cubic root of 2553314352 is about 1366.7888548563.

The spelling of 2553314352 in words is "two billion, five hundred fifty-three million, three hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 139 148 222 278 296 417 444 556 592 834 888 1112 1668 1776 2224 3336 5143 6672 10286 10343 15429 20572 20686 30858 31029 41144 41372 61716 62058 82288 82744 123432 124116 165488 246864 248232 382691 496464 765382 1148073 1437677 1530764 2296146 2875354 3061528 4313031 4592292 5750708 6123056 8626062 9184584 11501416 17252124 18369168 23002832 34504248 53194049 69008496 106388098 159582147 212776196 319164294 425552392 638328588 851104784 1276657176 2553314352