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137706437627 = 1121535814569
BaseRepresentation
bin1000000000111111110…
…0010111101111111011
3111011102222221211122122
42000033330113233323
54224010322001002
6143132250511455
712643331256353
oct2001774275773
9434388854578
10137706437627
115344576a850
122283173558b
13cca76620b5
146944b97b63
1538ae6c26a2
hex200ff17bfb

137706437627 has 8 divisors (see below), whose sum is σ = 150295005360. Its totient is φ = 125129503360.

The previous prime is 137706437593. The next prime is 137706437639. The reversal of 137706437627 is 726734607731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137706437627 - 214 = 137706421243 is a prime.

It is a super-2 number, since 2×1377064376272 (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 (137706437647) 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 7 ways as a sum of consecutive naturals, for example, 2883602 + ... + 2930967.

It is an arithmetic number, because the mean of its divisors is an integer number (18786875670).

Almost surely, 2137706437627 is an apocalyptic number.

137706437627 is a deficient number, since it is larger than the sum of its proper divisors (12588567733).

137706437627 is a wasteful number, since it uses less digits than its factorization.

137706437627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816733.

The product of its (nonzero) digits is 6223392, while the sum is 53.

The spelling of 137706437627 in words is "one hundred thirty-seven billion, seven hundred six million, four hundred thirty-seven thousand, six hundred twenty-seven".

Divisors: 1 11 2153 23683 5814569 63960259 12518767057 137706437627