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2613157141 = 759157191211
BaseRepresentation
bin1001101111000001…
…1001110100010101
320202010010010200211
42123300121310111
520322432012031
61111145005421
7121520316640
oct23360316425
96663103624
102613157141
111121071701
1260b183871
133284cb83a
141ab0a8a57
1510462dbb1
hex9bc19d15

2613157141 has 32 divisors (see below), whose sum is σ = 3086991360. Its totient is φ = 2166091200.

The previous prime is 2613157139. The next prime is 2613157147. The reversal of 2613157141 is 1417513162.

2613157141 = T4871 + T4872 + ... + T5081.

2613157141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2613157141 - 21 = 2613157139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613157147) 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, 12384526 + ... + 12384736.

It is an arithmetic number, because the mean of its divisors is an integer number (96468480).

Almost surely, 22613157141 is an apocalyptic number.

It is an amenable number.

2613157141 is a deficient number, since it is larger than the sum of its proper divisors (473834219).

2613157141 is a wasteful number, since it uses less digits than its factorization.

2613157141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625.

The product of its digits is 5040, while the sum is 31.

The square root of 2613157141 is about 51119.0487098498. The cubic root of 2613157141 is about 1377.3844494715.

The spelling of 2613157141 in words is "two billion, six hundred thirteen million, one hundred fifty-seven thousand, one hundred forty-one".

Divisors: 1 7 59 157 191 211 413 1099 1337 1477 9263 11269 12449 29987 33127 40301 64841 78883 87143 209909 231889 282107 1769233 1954493 2377759 6327257 12384631 13681451 16644313 44290799 373308163 2613157141