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972626137 = 72131151523
BaseRepresentation
bin111001111110010…
…001100011011001
32111210011112020021
4321332101203121
53442443014022
6240302430441
733050120500
oct7176214331
92453145207
10972626137
1145a02745a
12231892421
13126674632
1493263837
155a5c57c7
hex39f918d9

972626137 has 12 divisors (see below), whose sum is σ = 1140066576. Its totient is φ = 827310120.

The previous prime is 972626129. The next prime is 972626189. The reversal of 972626137 is 731626279.

It is not a de Polignac number, because 972626137 - 23 = 972626129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972626093 and 972626102.

It is not an unprimeable number, because it can be changed into a prime (972626107) 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 11 ways as a sum of consecutive naturals, for example, 69343 + ... + 82180.

It is an arithmetic number, because the mean of its divisors is an integer number (95005548).

Almost surely, 2972626137 is an apocalyptic number.

It is an amenable number.

972626137 is a deficient number, since it is larger than the sum of its proper divisors (167440439).

972626137 is a wasteful number, since it uses less digits than its factorization.

972626137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151668 (or 151661 counting only the distinct ones).

The product of its digits is 190512, while the sum is 43.

The square root of 972626137 is about 31186.9545964334. The cubic root of 972626137 is about 990.7908305374.

The spelling of 972626137 in words is "nine hundred seventy-two million, six hundred twenty-six thousand, one hundred thirty-seven".

Divisors: 1 7 49 131 917 6419 151523 1060661 7424627 19849513 138946591 972626137