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427296452904 = 2333231313671789
BaseRepresentation
bin1100011011111001101…
…10100111000100101000
31111211221000122211222000
412031330312213010220
524000100342443104
6524144113531000
742604542631236
oct6157466470450
91454830584860
10427296452904
11155240787492
126a990873a60
13313a8877319
1416977533956
15b1acedb639
hex637cda7128

427296452904 has 256 divisors, whose sum is σ = 1252094976000. Its totient is φ = 134755695360.

The previous prime is 427296452903. The next prime is 427296452951. The reversal of 427296452904 is 409254692724.

427296452904 is a `hidden beast` number, since 4 + 27 + 2 + 96 + 4 + 529 + 0 + 4 = 666.

427296452904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (427296452903) 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, 238845642 + ... + 238847430.

It is an arithmetic number, because the mean of its divisors is an integer number (4890996000).

Almost surely, 2427296452904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427296452904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626047488000).

427296452904 is an abundant number, since it is smaller than the sum of its proper divisors (824798523096).

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

427296452904 is a wasteful number, since it uses less digits than its factorization.

427296452904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 427296452904 in words is "four hundred twenty-seven billion, two hundred ninety-six million, four hundred fifty-two thousand, nine hundred four".