Search a number
-
+
56374344347365 = 51161180119494787
BaseRepresentation
bin11001101000101101011001…
…10001001110111011100101
321101121100000222121222220001
430310112230301032323211
524342114124123103430
6315522003302541301
714605624543403242
oct1464265461167345
9241540028558801
1056374344347365
1116a65252787330
1263a5885a37831
13255c1020a4a55
14dcc7661005c9
1567b65ceab3ca
hex3345acc4eee5

56374344347365 has 64 divisors (see below), whose sum is σ = 75104805484800. Its totient is φ = 40275912960000.

The previous prime is 56374344347353. The next prime is 56374344347369.

It is a happy number.

56374344347365 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56374344347365 - 25 = 56374344347333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56374344347297 and 56374344347306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56374344347369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11776547502 + ... + 11776552288.

It is an arithmetic number, because the mean of its divisors is an integer number (1173512585700).

Almost surely, 256374344347365 is an apocalyptic number.

56374344347365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56374344347365 is a deficient number, since it is larger than the sum of its proper divisors (18730461137435).

56374344347365 is a wasteful number, since it uses less digits than its factorization.

56374344347365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614.

The product of its digits is 914457600, while the sum is 64.

The spelling of 56374344347365 in words is "fifty-six trillion, three hundred seventy-four billion, three hundred forty-four million, three hundred forty-seven thousand, three hundred sixty-five".

Divisors: 1 5 11 55 61 305 671 1801 1949 3355 4787 9005 9745 19811 21439 23935 52657 99055 107195 109861 118889 263285 292007 549305 594445 1208471 1307779 1460035 3212077 3510149 6042355 6538895 8621387 9329863 16060385 17550745 38611639 43106935 46649315 94835257 102628493 193058195 214119089 474176285 513142465 525904607 569121643 1070595445 2355309979 2629523035 2845608215 5784950677 6260338073 11776549895 16803083263 28924753385 31301690365 84015416315 184833915893 924169579465 1024988079043 5124940395215 11274868869473 56374344347365