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496463778320 = 2456205797229
BaseRepresentation
bin1110011100101111000…
…11000001001000010000
31202110110102012001001012
413032113203001020100
531113224211401240
61020023341430052
750603556326216
oct7162743011020
91673412161035
10496463778320
11181604950844
128027486b328
1337a7c63b603
141a059716cb6
15cdaa46db65
hex73978c1210

496463778320 has 20 divisors (see below), whose sum is σ = 1154278284780. Its totient is φ = 198585511296.

The previous prime is 496463778233. The next prime is 496463778329. The reversal of 496463778320 is 23877364694.

It can be written as a sum of positive squares in 2 ways, for example, as 328324416016 + 168139362304 = 572996^2 + 410048^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 496463778320.

It is not an unprimeable number, because it can be changed into a prime (496463778329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3102898535 + ... + 3102898694.

It is an arithmetic number, because the mean of its divisors is an integer number (57713914239).

Almost surely, 2496463778320 is an apocalyptic number.

496463778320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496463778320 is an abundant number, since it is smaller than the sum of its proper divisors (657814506460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

496463778320 is a wasteful number, since it uses less digits than its factorization.

496463778320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205797242 (or 6205797236 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 59.

The spelling of 496463778320 in words is "four hundred ninety-six billion, four hundred sixty-three million, seven hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6205797229 12411594458 24823188916 31028986145 49646377832 62057972290 99292755664 124115944580 248231889160 496463778320