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390456227745 = 32510185908961
BaseRepresentation
bin1011010111010010000…
…00010011011110100001
31101022211120021111200100
411223221000103132201
522344123243241440
6455212332013013
740131604114053
oct5535100233641
91338746244610
10390456227745
111406563a8011
126380b001169
132aa8731b41c
1414c8087d8d3
15a253b09230
hex5ae90137a1

390456227745 has 24 divisors (see below), whose sum is σ = 683491701672. Its totient is φ = 206181504000.

The previous prime is 390456227741. The next prime is 390456227753. The reversal of 390456227745 is 547722654093.

390456227745 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 5 + 622 + 7 + 7 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165105694224 + 225350533521 = 406332^2 + 474711^2 .

It is not a de Polignac number, because 390456227745 - 22 = 390456227741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 390456227691 and 390456227700.

It is not an unprimeable number, because it can be changed into a prime (390456227741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42949936 + ... + 42959025.

It is an arithmetic number, because the mean of its divisors is an integer number (28478820903).

Almost surely, 2390456227745 is an apocalyptic number.

It is an amenable number.

390456227745 is a deficient number, since it is larger than the sum of its proper divisors (293035473927).

390456227745 is a wasteful number, since it uses less digits than its factorization.

390456227745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85909073 (or 85909070 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 390456227745 in words is "three hundred ninety billion, four hundred fifty-six million, two hundred twenty-seven thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 85908961 257726883 429544805 773180649 1288634415 3865903245 8676805061 26030415183 43384025305 78091245549 130152075915 390456227745