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948664312037 = 131737346133521
BaseRepresentation
bin11011100111000001100…
…11001010000011100101
310100200200001021021102122
431303200303022003211
5111020331030441122
62003451012315325
7125352533414201
oct15634063120345
93320601237378
10948664312037
113363652aa7a2
12133a35912b45
136b5c68a6c10
1433cb6585b01
1519a249d2142
hexdce0cca0e5

948664312037 has 32 divisors (see below), whose sum is σ = 1111325098464. Its totient is φ = 801648230400.

The previous prime is 948664312021. The next prime is 948664312049. The reversal of 948664312037 is 730213466849.

It is a Cunningham number, because it is equal to 9739942+1.

It can be written as a sum of positive squares in 16 ways, for example, as 210085639201 + 738578672836 = 458351^2 + 859406^2 .

It is a cyclic number.

It is not a de Polignac number, because 948664312037 - 24 = 948664312021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 948664312037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948664812037) 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 31 ways as a sum of consecutive naturals, for example, 28283837 + ... + 28317357.

It is an arithmetic number, because the mean of its divisors is an integer number (34728909327).

Almost surely, 2948664312037 is an apocalyptic number.

It is an amenable number.

948664312037 is a deficient number, since it is larger than the sum of its proper divisors (162660786427).

948664312037 is a wasteful number, since it uses less digits than its factorization.

948664312037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37049.

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 948664312037 in words is "nine hundred forty-eight billion, six hundred sixty-four million, three hundred twelve thousand, thirty-seven".

Divisors: 1 13 17 37 221 481 629 3461 8177 33521 44993 58837 128057 435773 569857 764881 1240277 1664741 2176969 7408141 16123601 21084709 28300597 116016181 274101217 1508210353 1972275077 4292598697 25639576001 55803783061 72974177849 948664312037