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27929494971 = 3271455130467
BaseRepresentation
bin11010000000101110…
…100100010110111011
32200002110021100102200
4122000232210112323
5424144422314341
620455230001243
72006055535020
oct320056442673
980073240380
1027929494971
1110932520a54
1254b5646223
1328314333b1
1414cd479547
15ad6e8adb6
hex680ba45bb

27929494971 has 24 divisors (see below), whose sum is σ = 46110514944. Its totient is φ = 15958090800.

The previous prime is 27929494949. The next prime is 27929495017. The reversal of 27929494971 is 17949492972.

27929494971 is a `hidden beast` number, since 2 + 79 + 2 + 9 + 494 + 9 + 71 = 666.

It is not a de Polignac number, because 27929494971 - 27 = 27929494843 is a prime.

It is a super-2 number, since 2×279294949712 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 27929494899 and 27929494908.

It is not an unprimeable number, because it can be changed into a prime (27929494921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901480 + ... + 931946.

It is an arithmetic number, because the mean of its divisors is an integer number (1921271456).

Almost surely, 227929494971 is an apocalyptic number.

27929494971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27929494971 is a deficient number, since it is larger than the sum of its proper divisors (18181019973).

27929494971 is a wasteful number, since it uses less digits than its factorization.

27929494971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45031 (or 45028 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 27929494971 in words is "twenty-seven billion, nine hundred twenty-nine million, four hundred ninety-four thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 21 63 14551 30467 43653 91401 101857 130959 213269 274203 305571 639807 916713 1919421 443325317 1329975951 3103277219 3989927853 9309831657 27929494971