Search a number
-
+
481561367560263 = 32309207717304491
BaseRepresentation
bin110110101111110100011111…
…0010000000100000001000111
32100011001211001200122100020200
41231133220332100010001013
51001104400140043412023
64424110123241101543
7203301442416252264
oct15537507620040107
92304054050570220
10481561367560263
1112a493035788481
124601599b7878b3
13178920716848b3
1486cb9a1bc826b
153aa17b274c743
hex1b5fa3e404047

481561367560263 has 12 divisors (see below), whose sum is σ = 695588907186888. Its totient is φ = 321040789327440.

The previous prime is 481561367560187. The next prime is 481561367560277. The reversal of 481561367560263 is 362065763165184.

481561367560263 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 6 + 1 + 3 + 6 + 7 + 560 + 2 + 63 = 666.

It is not a de Polignac number, because 481561367560263 - 218 = 481561367298119 is a prime.

It is a super-3 number, since 3×4815613675602633 (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 481561367560263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481561367560463) 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 11 ways as a sum of consecutive naturals, for example, 19176448 + ... + 36480938.

It is an arithmetic number, because the mean of its divisors is an integer number (57965742265574).

Almost surely, 2481561367560263 is an apocalyptic number.

481561367560263 is a deficient number, since it is larger than the sum of its proper divisors (214027539626625).

481561367560263 is a wasteful number, since it uses less digits than its factorization.

481561367560263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20396574 (or 20396571 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 481561367560263 in words is "four hundred eighty-one trillion, five hundred sixty-one billion, three hundred sixty-seven million, five hundred sixty thousand, two hundred sixty-three".

Divisors: 1 3 9 3092077 9276231 17304491 27828693 51913473 155740419 53506818617807 160520455853421 481561367560263