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56364046365 = 35112101307471
BaseRepresentation
bin110100011111100011…
…110001100000011101
312101111002220020000210
4310133203301200131
51410413143440430
641520541043033
74033516326534
oct643743614035
9171432806023
1056364046365
11219a4042300
12ab10256479
13541339c233
142a29a2531b
1516ed43d2b0
hexd1f8f181d

56364046365 has 48 divisors (see below), whose sum is σ = 100107963648. Its totient is φ = 27057360000.

The previous prime is 56364046357. The next prime is 56364046367.

56364046365 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56364046365 - 23 = 56364046357 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56364046367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29580 + ... + 337050.

It is an arithmetic number, because the mean of its divisors is an integer number (2085582576).

Almost surely, 256364046365 is an apocalyptic number.

56364046365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56364046365 is a deficient number, since it is larger than the sum of its proper divisors (43743917283).

56364046365 is a wasteful number, since it uses less digits than its factorization.

56364046365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307602 (or 307591 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 56364046365 in words is "fifty-six billion, three hundred sixty-four million, forty-six thousand, three hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 101 121 165 303 363 505 605 1111 1515 1815 3333 5555 12221 16665 36663 61105 183315 307471 922413 1537355 3382181 4612065 10146543 16910905 31054571 37203991 50732715 93163713 111611973 155272855 186019955 341600281 465818565 558059865 1024800843 1708001405 3757603091 5124004215 11272809273 18788015455 56364046365