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253635373772356 = 221811243972
BaseRepresentation
bin111001101010111000010110…
…010110110010111001000100
31020021001022020021220110212111
4321222320112112302321010
5231221030221141203411
62255234252051230404
7104265360002201512
oct7152702626627104
91207038207813774
10253635373772356
11738a8181263414
12245442995a8404
13ab6a9369505a4
14468c0363ad4b2
151e4c988a73721
hexe6ae165b2e44

253635373772356 has 27 divisors (see below), whose sum is σ = 444208156873117. Its totient is φ = 126718834613840.

The previous prime is 253635373772273. The next prime is 253635373772359. The reversal of 253635373772356 is 653277373536352.

The square root of 253635373772356 is 15925934.

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

253635373772356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 121638620420100 + 131996753352256 = 11028990^2 + 11488984^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253635373772291 and 253635373772300.

It is not an unprimeable number, because it can be changed into a prime (253635373772359) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57683730750 + ... + 57683735146.

Almost surely, 2253635373772356 is an apocalyptic number.

253635373772356 is the 15925934-th square number.

It is an amenable number.

253635373772356 is a deficient number, since it is larger than the sum of its proper divisors (190572783100761).

253635373772356 is an frugal number, since it uses more digits than its factorization.

253635373772356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12420 (or 6210 counting only the distinct ones).

The product of its digits is 1500282000, while the sum is 67.

The spelling of 253635373772356 in words is "two hundred fifty-three trillion, six hundred thirty-five billion, three hundred seventy-three million, seven hundred seventy-two thousand, three hundred fifty-six".

Divisors: 1 2 4 1811 3622 4397 7244 8794 17588 3279721 6559442 7962967 13118884 15925934 19333609 31851868 38667218 77334436 14420933237 28841866474 35013165899 57683732948 70026331798 140052663596 63408843443089 126817686886178 253635373772356