Search a number
-
+
56474644647465 = 32511147487773561
BaseRepresentation
bin11001101011101000001110…
…01000100000111000101001
321101221220221002100011102200
430311310013020200320221
524400240033012204330
6320040032114250413
714616105225031242
oct1465640710407051
9241856832304380
1056474644647465
1116aa3842681330
1264011b8286a09
1325686c7b88a55
14dd355cdb1cc9
1567e07d763a60
hex335d07220e29

56474644647465 has 48 divisors (see below), whose sum is σ = 106789281071616. Its totient is φ = 27381424838400.

The previous prime is 56474644647367. The next prime is 56474644647493.

56474644647465 is a `hidden beast` number, since 5 + 6 + 47 + 4 + 64 + 4 + 64 + 7 + 465 = 666.

56474644647465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56474644647465 - 214 = 56474644631081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56474644647393 and 56474644647402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72619285 + ... + 73392845.

It is an arithmetic number, because the mean of its divisors is an integer number (2224776688992).

Almost surely, 256474644647465 is an apocalyptic number.

56474644647465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56474644647465 is a deficient number, since it is larger than the sum of its proper divisors (50314636424151).

56474644647465 is a wasteful number, since it uses less digits than its factorization.

56474644647465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921070 (or 921067 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 72.

The spelling of 56474644647465 in words is "fifty-six trillion, four hundred seventy-four billion, six hundred forty-four million, six hundred forty-seven thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 147487 442461 737435 773561 1327383 1622357 2212305 2320683 3867805 4867071 6636915 6962049 8111785 8509171 11603415 14601213 24335355 25527513 34810245 42545855 73006065 76582539 127637565 382912695 114090191207 342270573621 570450956035 1026811720863 1254992103277 1711352868105 3764976309831 5134058604315 6274960516385 11294928929493 18824881549155 56474644647465