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2631074436 = 22328321032
BaseRepresentation
bin1001110011010011…
…0000001010000100
320210100211102121100
42130310300022010
520342023340221
61113025020100
7122125522644
oct23464601204
96710742540
102631074436
11113019a191
12615184630
1332c132ca3
141ad610524
15105ebc926
hex9cd30284

2631074436 has 81 divisors (see below), whose sum is σ = 6797859159. Its totient is φ = 858046032.

The previous prime is 2631074431. The next prime is 2631074441. The reversal of 2631074436 is 6344701362.

It is a happy number.

The square root of 2631074436 is 51294.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2631074431) and next prime (2631074441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2631074436.

It is not an unprimeable number, because it can be changed into a prime (2631074431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25544361 + ... + 25544463.

Almost surely, 22631074436 is an apocalyptic number.

2631074436 is the 51294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631074436

2631074436 is an abundant number, since it is smaller than the sum of its proper divisors (4166784723).

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

2631074436 is a wasteful number, since it uses less digits than its factorization.

2631074436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The cubic root of 2631074436 is about 1380.5253261481.

Multiplying 2631074436 by its sum of digits (36), we get a square (94718679696 = 3077642).

2631074436 divided by its sum of digits (36) gives a square (73085401 = 85492).

Adding to 2631074436 its reverse (6344701362), we get a palindrome (8975775798).

The spelling of 2631074436 in words is "two billion, six hundred thirty-one million, seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 103 166 206 249 309 332 412 498 618 747 927 996 1236 1494 1854 2988 3708 6889 8549 10609 13778 17098 20667 21218 25647 27556 31827 34196 41334 42436 51294 62001 63654 76941 82668 95481 102588 124002 127308 153882 190962 248004 307764 381924 709567 880547 1419134 1761094 2128701 2641641 2838268 3522188 4257402 5283282 6386103 7924923 8514804 10566564 12772206 15849846 25544412 31699692 73085401 146170802 219256203 292341604 438512406 657768609 877024812 1315537218 2631074436