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472395117857 = 13891572600593
BaseRepresentation
bin1101101111111001111…
…00010111010100100001
31200011100000202101220012
412313330330113110201
530214431122232412
61001003150454305
746062251151365
oct6677474272441
91604300671805
10472395117857
11172383801a13
1277678204395
13357150523a0
1418c14d272a5
15c44c418c22
hex6dfcf17521

472395117857 has 16 divisors (see below), whose sum is σ = 517726253520. Its totient is φ = 428411123712.

The previous prime is 472395117847. The next prime is 472395117919. The reversal of 472395117857 is 758711593274.

It can be written as a sum of positive squares in 8 ways, for example, as 144342245776 + 328052872081 = 379924^2 + 572759^2 .

It is not a de Polignac number, because 472395117857 - 26 = 472395117793 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 472395117796 and 472395117805.

It is not an unprimeable number, because it can be changed into a prime (472395117847) 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 15 ways as a sum of consecutive naturals, for example, 1118648 + ... + 1481945.

It is an arithmetic number, because the mean of its divisors is an integer number (32357890845).

Almost surely, 2472395117857 is an apocalyptic number.

It is an amenable number.

472395117857 is a deficient number, since it is larger than the sum of its proper divisors (45331135663).

472395117857 is a wasteful number, since it uses less digits than its factorization.

472395117857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600852.

The product of its digits is 14817600, while the sum is 59.

The spelling of 472395117857 in words is "four hundred seventy-two billion, three hundred ninety-five million, one hundred seventeen thousand, eight hundred fifty-seven".

Divisors: 1 13 89 157 1157 2041 13973 181649 2600593 33807709 231452777 408293101 3008886101 5307810313 36338085989 472395117857