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27123731973 = 3213231826769
BaseRepresentation
bin11001010000101100…
…110100111000000101
32121000022002100101200
4121100230310320011
5421022133410343
620243243413113
71650102626532
oct312054647005
977008070350
1027123731973
1110559704318
12530b824199
132733513360
14145444dd89
15a8b3764d3
hex650b34e05

27123731973 has 12 divisors (see below), whose sum is σ = 42192472140. Its totient is φ = 16691527296.

The previous prime is 27123731867. The next prime is 27123732047. The reversal of 27123731973 is 37913732172.

27123731973 is a `hidden beast` number, since 271 + 2 + 373 + 1 + 9 + 7 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17286464484 + 9837267489 = 131478^2 + 99183^2 .

It is not a de Polignac number, because 27123731973 - 28 = 27123731717 is a prime.

It is a super-2 number, since 2×271237319732 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27123781973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115913268 + ... + 115913501.

It is an arithmetic number, because the mean of its divisors is an integer number (3516039345).

Almost surely, 227123731973 is an apocalyptic number.

It is an amenable number.

27123731973 is a deficient number, since it is larger than the sum of its proper divisors (15068740167).

27123731973 is a wasteful number, since it uses less digits than its factorization.

27123731973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231826788 (or 231826785 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The spelling of 27123731973 in words is "twenty-seven billion, one hundred twenty-three million, seven hundred thirty-one thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 39 117 231826769 695480307 2086440921 3013747997 9041243991 27123731973