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85168630737 = 349727739133
BaseRepresentation
bin100111101010001110…
…0100010101111010001
322010211112210201110000
41033110130202233101
52343411132140422
6103043111200213
76103362262611
oct1172434425721
9263745721400
1085168630737
1133135520933
121460a976069
138053bb66b8
14419d3b4a41
152337134cac
hex13d4722bd1

85168630737 has 40 divisors (see below), whose sum is σ = 129006170216. Its totient is φ = 55989439488.

The previous prime is 85168630711. The next prime is 85168630759. The reversal of 85168630737 is 73703686158.

It can be written as a sum of positive squares in 4 ways, for example, as 18872165376 + 66296465361 = 137376^2 + 257481^2 .

It is not a de Polignac number, because 85168630737 - 210 = 85168629713 is a prime.

It is a super-2 number, since 2×851686307372 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85168630777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2156823 + ... + 2195955.

Almost surely, 285168630737 is an apocalyptic number.

It is an amenable number.

85168630737 is a deficient number, since it is larger than the sum of its proper divisors (43837539479).

85168630737 is a wasteful number, since it uses less digits than its factorization.

85168630737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39519 (or 39510 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 85168630737 in words is "eighty-five billion, one hundred sixty-eight million, six hundred thirty thousand, seven hundred thirty-seven".

Divisors: 1 3 9 27 81 97 277 291 831 873 2493 2619 7479 7857 22437 26869 39133 80607 117399 241821 352197 725463 1056591 2176389 3169773 3795901 10839841 11387703 32519523 34163109 97558569 102489327 292675707 307467981 878027121 1051464577 3154393731 9463181193 28389543579 85168630737