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20261312656 = 2413210174189
BaseRepresentation
bin10010110111101010…
…110001100010010000
31221022001020022211021
4102313222301202100
5312443344001111
613150302125224
71315044213244
oct226752614220
957261208737
1020261312656
118657a8a0a2
123b15580814
131bab87b500
14da2ca8424
157d8b86d71
hex4b7ab1890

20261312656 has 60 divisors (see below), whose sum is σ = 42929746740. Its totient is φ = 9258662400.

The previous prime is 20261312647. The next prime is 20261312681. The reversal of 20261312656 is 65621316202.

It can be written as a sum of positive squares in 6 ways, for example, as 661312656 + 19600000000 = 25716^2 + 140000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236010 + ... + 310198.

It is an arithmetic number, because the mean of its divisors is an integer number (715495779).

Almost surely, 220261312656 is an apocalyptic number.

20261312656 is a gapful number since it is divisible by the number (26) 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 20261312656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464873370).

20261312656 is an abundant number, since it is smaller than the sum of its proper divisors (22668434084).

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

20261312656 is a wasteful number, since it uses less digits than its factorization.

20261312656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74324 (or 74305 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 20261312656 its reverse (65621316202), we get a palindrome (85882628858).

The spelling of 20261312656 in words is "twenty billion, two hundred sixty-one million, three hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 101 104 169 202 208 338 404 676 808 1313 1352 1616 2626 2704 5252 10504 17069 21008 34138 68276 74189 136552 148378 273104 296756 593512 964457 1187024 1928914 3857828 7493089 7715656 12537941 14986178 15431312 25075882 29972356 50151764 59944712 97410157 100303528 119889424 194820314 200607056 389640628 779281256 1266332041 1558562512 2532664082 5065328164 10130656328 20261312656