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480295504215 = 32510673233427
BaseRepresentation
bin1101111110100111101…
…01111100100101010111
31200220201121201121120100
412333103311330211113
530332121122113330
61004351131305143
746462112265642
oct6772365744527
91626647647510
10480295504215
1117576832213a
1279101bab1b3
13363a3a58807
14193642a0a59
15c760cd9060
hex6fd3d7c957

480295504215 has 12 divisors (see below), whose sum is σ = 832512207384. Its totient is φ = 256157602224.

The previous prime is 480295504187. The next prime is 480295504219. The reversal of 480295504215 is 512405592084.

480295504215 is a `hidden beast` number, since 4 + 80 + 2 + 9 + 550 + 4 + 2 + 15 = 666.

It is not a de Polignac number, because 480295504215 - 26 = 480295504151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 10673233427 = 480295504215 / (4 + 8 + 0 + 2 + 9 + 5 + 5 + 0 + 4 + 2 + 1 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480295504219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5336616669 + ... + 5336616758.

It is an arithmetic number, because the mean of its divisors is an integer number (69376017282).

Almost surely, 2480295504215 is an apocalyptic number.

480295504215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480295504215 is a deficient number, since it is larger than the sum of its proper divisors (352216703169).

480295504215 is a wasteful number, since it uses less digits than its factorization.

480295504215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673233438 (or 10673233435 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 480295504215 in words is "four hundred eighty billion, two hundred ninety-five million, five hundred four thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 45 10673233427 32019700281 53366167135 96059100843 160098501405 480295504215