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12427089624747 = 327529737239077
BaseRepresentation
bin1011010011010110100001…
…0000110011111010101011
31122000000111020112222212100
42310311220100303322223
53112101134420442442
642232532014544443
72421553602640230
oct264655020637253
948000436488770
1012427089624747
113a61332135226
121488553208123
136c1b3c45b985
1430d68d873787
151683ccba484c
hexb4d68433eab

12427089624747 has 24 divisors (see below), whose sum is σ = 20518434065376. Its totient is φ = 7099853273856.

The previous prime is 12427089624737. The next prime is 12427089624757. The reversal of 12427089624747 is 74742698072421.

12427089624747 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 70 + 8 + 96 + 2 + 474 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (12427089624737) and next prime (12427089624757).

It is not a de Polignac number, because 12427089624747 - 227 = 12426955407019 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12427089624737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18285828 + ... + 18953249.

It is an arithmetic number, because the mean of its divisors is an integer number (854934752724).

Almost surely, 212427089624747 is an apocalyptic number.

12427089624747 is a deficient number, since it is larger than the sum of its proper divisors (8091344440629).

12427089624747 is a wasteful number, since it uses less digits than its factorization.

12427089624747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37244387 (or 37244384 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 12427089624747 in words is "twelve trillion, four hundred twenty-seven billion, eighty-nine million, six hundred twenty-four thousand, seven hundred forty-seven".

Divisors: 1 3 7 9 21 63 5297 15891 37079 47673 111237 333711 37239077 111717231 260673539 335151693 782020617 2346061851 197255390869 591766172607 1380787736083 1775298517821 4142363208249 12427089624747