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85826341657 = 721751557993
BaseRepresentation
bin100111111101110100…
…1100000101100011001
322012112101101220012201
41033323221200230121
52401233020413112
6103232244210201
76125566603300
oct1177351405431
9265471356181
1085826341657
1133442806881
1214773099961
13812a23a364
1442228a1437
152374c52257
hex13fba60b19

85826341657 has 6 divisors (see below), whose sum is σ = 99838805658. Its totient is φ = 73565435664.

The previous prime is 85826341649. The next prime is 85826341681. The reversal of 85826341657 is 75614362858.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81899564761 + 3926776896 = 286181^2 + 62664^2 .

It is not a de Polignac number, because 85826341657 - 23 = 85826341649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85826341598 and 85826341607.

It is not an unprimeable number, because it can be changed into a prime (85826341637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 875778948 + ... + 875779045.

It is an arithmetic number, because the mean of its divisors is an integer number (16639800943).

Almost surely, 285826341657 is an apocalyptic number.

It is an amenable number.

85826341657 is a deficient number, since it is larger than the sum of its proper divisors (14012464001).

85826341657 is a wasteful number, since it uses less digits than its factorization.

85826341657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751558007 (or 1751558000 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 85826341657 in words is "eighty-five billion, eight hundred twenty-six million, three hundred forty-one thousand, six hundred fifty-seven".

Divisors: 1 7 49 1751557993 12260905951 85826341657