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56313116612151 = 37217100922333261
BaseRepresentation
bin11001100110111011010110…
…10011111101011000110111
321101101110222220211210001020
430303131223103331120313
524340113230323042101
6315433515540032223
714601326345263500
oct1463355323753067
9241343886753036
1056313116612151
1116a4129327a673
126395a38992673
1325563c5192229
14dc97d857bba7
15679c77a90136
hex33376b4fd637

56313116612151 has 48 divisors (see below), whose sum is σ = 92572264320480. Its totient is φ = 30256028651520.

The previous prime is 56313116612147. The next prime is 56313116612177. The reversal of 56313116612151 is 15121661131365.

It is not a de Polignac number, because 56313116612151 - 22 = 56313116612147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56313116610151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8645140 + ... + 13688121.

It is an arithmetic number, because the mean of its divisors is an integer number (1928588840010).

Almost surely, 256313116612151 is an apocalyptic number.

56313116612151 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

56313116612151 is a deficient number, since it is larger than the sum of its proper divisors (36259147708329).

56313116612151 is a wasteful number, since it uses less digits than its factorization.

56313116612151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22334304 (or 22334297 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The spelling of 56313116612151 in words is "fifty-six trillion, three hundred thirteen billion, one hundred sixteen million, six hundred twelve thousand, one hundred fifty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 1009 2499 3027 7063 17153 21189 49441 51459 120071 148323 360213 840497 2521491 22333261 66999783 156332827 379665437 468998481 1094329789 1138996311 2657658059 3282989367 7972974177 18603606413 22534260349 55810819239 67602781047 157739822443 383082425933 473219467329 1104178757101 1149247277799 2681576981531 3312536271303 8044730944593 18771038870717 56313116612151