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61626315251053 = 7172397732803121
BaseRepresentation
bin11100000001100011111101…
…01000010001110101101101
322002012102021212110021000101
432000301332220101311231
531034141143201013203
6335022423254231101
715660232353454150
oct1600617650216555
9262172255407011
1061626315251053
11186aa634401163
126ab3714355491
13285044b6556a7
141130a2dd3bc97
1571d09655d41d
hex380c7ea11d6d

61626315251053 has 32 divisors (see below), whose sum is σ = 74981943751680. Its totient is φ = 49443269406720.

The previous prime is 61626315251009. The next prime is 61626315251129. The reversal of 61626315251053 is 35015251362616.

61626315251053 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 61626315251053 - 217 = 61626315119981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61626315250994 and 61626315251012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61626315251453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20583333 + ... + 23386453.

It is an arithmetic number, because the mean of its divisors is an integer number (2343185742240).

Almost surely, 261626315251053 is an apocalyptic number.

It is an amenable number.

61626315251053 is a deficient number, since it is larger than the sum of its proper divisors (13355628500627).

61626315251053 is a wasteful number, since it uses less digits than its factorization.

61626315251053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804157.

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 61626315251053 in words is "sixty-one trillion, six hundred twenty-six billion, three hundred fifteen million, two hundred fifty-one thousand, fifty-three".

Divisors: 1 7 17 119 239 773 1673 4063 5411 13141 28441 91987 184747 1293229 2803121 3140699 19621847 21984893 47653057 333571399 669945919 2166812533 4689621433 11389080623 15167687731 36835813061 79723564361 257850691427 517868195387 3625077367709 8803759321579 61626315251053