Search a number
-
+
37132428137 = 7192749101561
BaseRepresentation
bin100010100101010000…
…111110001101101001
310112211211012210102012
4202211100332031221
51102021400200022
625020340445305
72453114300660
oct424520761551
9115754183365
1037132428137
1114825318942
1272436a9835
133669c56a8c
141b237d7dd7
15e74da0de2
hex8a543e369

37132428137 has 16 divisors (see below), whose sum is σ = 44687280000. Its totient is φ = 30141383040.

The previous prime is 37132428101. The next prime is 37132428181. The reversal of 37132428137 is 73182423173.

It is a cyclic number.

It is not a de Polignac number, because 37132428137 - 28 = 37132427881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37132428094 and 37132428103.

It is not an unprimeable number, because it can be changed into a prime (37132428337) 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 15 ways as a sum of consecutive naturals, for example, 314837 + ... + 416397.

It is an arithmetic number, because the mean of its divisors is an integer number (2792955000).

Almost surely, 237132428137 is an apocalyptic number.

It is an amenable number.

37132428137 is a deficient number, since it is larger than the sum of its proper divisors (7554851863).

37132428137 is a wasteful number, since it uses less digits than its factorization.

37132428137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104336.

The product of its digits is 169344, while the sum is 41.

The spelling of 37132428137 in words is "thirty-seven billion, one hundred thirty-two million, four hundred twenty-eight thousand, one hundred thirty-seven".

Divisors: 1 7 19 133 2749 19243 52231 101561 365617 710927 1929659 13507613 279191189 1954338323 5304632591 37132428137