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8233076137 = 1113154337313
BaseRepresentation
bin1111010101011101…
…01100010110101001
3210020202222121020211
413222232230112221
5113330131414022
63440543221121
7411010664266
oct75256542651
923222877224
108233076137
1135453a1a60
1217192a77a1
13a1290b5b0
1458161a26d
15332bd9e77
hex1eabac5a9

8233076137 has 16 divisors (see below), whose sum is σ = 9678953088. Its totient is φ = 6904212480.

The previous prime is 8233076077. The next prime is 8233076161. The reversal of 8233076137 is 7316703328.

It is a happy number.

It is not a de Polignac number, because 8233076137 - 27 = 8233076009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8233076137.

It is not an unprimeable number, because it can be changed into a prime (8233076167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201993 + ... + 239305.

It is an arithmetic number, because the mean of its divisors is an integer number (604934568).

Almost surely, 28233076137 is an apocalyptic number.

It is an amenable number.

8233076137 is a deficient number, since it is larger than the sum of its proper divisors (1445876951).

8233076137 is a wasteful number, since it uses less digits than its factorization.

8233076137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38880.

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 8233076137 is about 90736.2999961978. The cubic root of 8233076137 is about 2019.2373797512.

The spelling of 8233076137 in words is "eight billion, two hundred thirty-three million, seventy-six thousand, one hundred thirty-seven".

Divisors: 1 11 13 143 1543 16973 20059 37313 220649 410443 485069 5335759 57573959 633313549 748461467 8233076137