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137023926129 = 344271396079
BaseRepresentation
bin111111110011101000…
…0110010111101110001
3111002200102200122220000
41333213100302331301
54221111111114004
6142540430140213
712620403104046
oct1774720627561
9432612618800
10137023926129
1153125485862
1222681051669
13cbc9136c3c
1468bc2931cd
15386e806c39
hex1fe7432f71

137023926129 has 20 divisors (see below), whose sum is σ = 204738504960. Its totient is φ = 91327665240.

The previous prime is 137023926121. The next prime is 137023926199. The reversal of 137023926129 is 921629320731.

137023926129 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 23 + 9 + 2 + 612 + 9 = 666.

It is not a de Polignac number, because 137023926129 - 23 = 137023926121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137023926121) 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 19 ways as a sum of consecutive naturals, for example, 147912 + ... + 543990.

It is an arithmetic number, because the mean of its divisors is an integer number (10236925248).

Almost surely, 2137023926129 is an apocalyptic number.

It is an amenable number.

137023926129 is a deficient number, since it is larger than the sum of its proper divisors (67714578831).

137023926129 is an equidigital number, since it uses as much as digits as its factorization.

137023926129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400362 (or 400353 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 137023926129 in words is "one hundred thirty-seven billion, twenty-three million, nine hundred twenty-six thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 81 4271 12813 38439 115317 345951 396079 1188237 3564711 10694133 32082399 1691653409 5074960227 15224880681 45674642043 137023926129