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56319677691365 = 5112394421471521
BaseRepresentation
bin11001100111000111100100…
…11000011111010111100101
321101102002221011200010201002
430303203302120133113211
524340220144442110430
6315440522554443045
714601651054446354
oct1463436230372745
9241362834603632
1056319677691365
1116a4404a895590
12639716a133485
132556bcc57a31a
14dc9c5bac199b
1567a00daa8845
hex3338f261f5e5

56319677691365 has 32 divisors (see below), whose sum is σ = 76934102890752. Its totient is φ = 39178408192000.

The previous prime is 56319677691353. The next prime is 56319677691377.

56319677691365 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56319677691353) and next prime (56319677691377).

It is not a de Polignac number, because 56319677691365 - 230 = 56318603949541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56319677691292 and 56319677691301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119206805 + ... + 119678325.

It is an arithmetic number, because the mean of its divisors is an integer number (2404190715336).

Almost surely, 256319677691365 is an apocalyptic number.

56319677691365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56319677691365 is a deficient number, since it is larger than the sum of its proper divisors (20614425199387).

56319677691365 is a wasteful number, since it uses less digits than its factorization.

56319677691365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565981.

The product of its digits is 1157360400, while the sum is 74.

The spelling of 56319677691365 in words is "fifty-six trillion, three hundred nineteen billion, six hundred seventy-seven million, six hundred ninety-one thousand, three hundred sixty-five".

Divisors: 1 5 11 23 55 115 253 1265 94421 471521 472105 1038631 2171683 2357605 5186731 5193155 10844983 10858415 23888513 25933655 54224915 119294813 119442565 596474065 44521484341 222607421705 489736327751 1023994139843 2448681638755 5119970699215 11263935538273 56319677691365