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138253473027 = 3345719515743
BaseRepresentation
bin1000000011000010001…
…1001001010100000011
3111012212010022010011000
42000300203021110003
54231120342114102
6143302431423043
712663023062635
oct2006043112403
9435763263130
10138253473027
11536a653261a
1222964984a83
1310063aa5097
1469976b4a55
1538e272c01c
hex20308c9503

138253473027 has 32 divisors (see below), whose sum is σ = 205409116160. Its totient is φ = 91904155200.

The previous prime is 138253473023. The next prime is 138253473053. The reversal of 138253473027 is 720374352831.

It is a happy number.

138253473027 is a `hidden beast` number, since 1 + 3 + 82 + 534 + 7 + 30 + 2 + 7 = 666.

It is not a de Polignac number, because 138253473027 - 22 = 138253473023 is a prime.

It is a super-2 number, since 2×1382534730272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138253473023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24070518 + ... + 24076260.

It is an arithmetic number, because the mean of its divisors is an integer number (6419034880).

Almost surely, 2138253473027 is an apocalyptic number.

138253473027 is a deficient number, since it is larger than the sum of its proper divisors (67155643133).

138253473027 is a wasteful number, since it uses less digits than its factorization.

138253473027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 138253473027 in words is "one hundred thirty-eight billion, two hundred fifty-three million, four hundred seventy-three thousand, twenty-seven".

Divisors: 1 3 9 27 457 1371 1951 4113 5743 5853 12339 17229 17559 51687 52677 155061 891607 2624551 2674821 7873653 8024463 11204593 23620959 24073389 33613779 70862877 100841337 302524011 5120499001 15361497003 46084491009 138253473027