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137216147824173 = 311384314075931
BaseRepresentation
bin11111001100110000011111…
…101111111001111000101101
3122222211201212021020102002110
4133030300133233321320231
5120441122132320333143
61203500121133314233
740621353026154405
oct3714603757717055
9588751767212073
10137216147824173
113a7a3050258000
12134814aa335979
135b745727a2612
1425c5422d27805
1510ce490bb2533
hex7ccc1fbf9e2d

137216147824173 has 32 divisors (see below), whose sum is σ = 201260522502144. Its totient is φ = 83151417558000.

The previous prime is 137216147824169. The next prime is 137216147824229. The reversal of 137216147824173 is 371428741612731.

It is not a de Polignac number, because 137216147824173 - 22 = 137216147824169 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137216147825173) 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, 31627018 + ... + 35702948.

It is an arithmetic number, because the mean of its divisors is an integer number (6289391328192).

Almost surely, 2137216147824173 is an apocalyptic number.

It is an amenable number.

137216147824173 is a deficient number, since it is larger than the sum of its proper divisors (64044374677971).

137216147824173 is an equidigital number, since it uses as much as digits as its factorization.

137216147824173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084398 (or 4084376 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 57.

The spelling of 137216147824173 in words is "one hundred thirty-seven trillion, two hundred sixteen billion, one hundred forty-seven million, eight hundred twenty-four thousand, one hundred seventy-three".

Divisors: 1 3 11 33 121 363 1331 3993 8431 25293 92741 278223 1020151 3060453 4075931 11221661 12227793 33664983 44835241 134505723 493187651 1479562953 5425064161 16275192483 34364174261 103092522783 378005916871 1134017750613 4158065085581 12474195256743 45738715941391 137216147824173