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253628198131203 = 3272718100290573
BaseRepresentation
bin111001101010110001101010…
…101001111001011000000011
31020021000121201012200010201100
4321222301222221321120003
5231220421022210144303
62255231104040305443
7104265014121230100
oct7152615251713003
91207017635603640
10253628198131203
11738a5129853a75
1224542a16472283
13ab6a06213b78c
14468b9553b1aa7
151e4c6b8b128a3
hexe6ac6aa79603

253628198131203 has 36 divisors (see below), whose sum is σ = 432166702704048. Its totient is φ = 142889125690080.

The previous prime is 253628198131193. The next prime is 253628198131223. The reversal of 253628198131203 is 302131891826352.

253628198131203 is a `hidden beast` number, since 2 + 5 + 3 + 628 + 1 + 9 + 8 + 1 + 3 + 1 + 2 + 0 + 3 = 666.

253628198131203 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253628198131203 - 221 = 253628196034051 is a prime.

It is a super-3 number, since 3×2536281981312033 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253628198131203.

It is not an unprimeable number, because it can be changed into a prime (253628198131223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4050113976 + ... + 4050176597.

It is an arithmetic number, because the mean of its divisors is an integer number (12004630630668).

Almost surely, 2253628198131203 is an apocalyptic number.

253628198131203 is a deficient number, since it is larger than the sum of its proper divisors (178538504572845).

253628198131203 is a wasteful number, since it uses less digits than its factorization.

253628198131203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8100290664 (or 8100290654 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 253628198131203 in words is "two hundred fifty-three trillion, six hundred twenty-eight billion, one hundred ninety-eight million, one hundred thirty-one thousand, two hundred three".

Divisors: 1 3 7 9 21 49 63 71 147 213 441 497 639 1491 3479 4473 10437 31311 8100290573 24300871719 56702034011 72902615157 170106102033 396914238077 510318306099 575120630683 1190742714231 1725361892049 3572228142693 4025844414781 5176085676147 12077533244343 28180910903467 36232599733029 84542732710401 253628198131203