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766167013 = 9728128109
BaseRepresentation
bin101101101010101…
…100011111100101
31222101200022120001
4231222230133211
53032114321023
6204005341301
724662212033
oct5552543745
91871608501
10766167013
11363532687
12194707831
13c2968381
1473a7d553
15473e26ad
hex2daac7e5

766167013 has 8 divisors (see below), whose sum is σ = 776847960. Its totient is φ = 755543040.

The previous prime is 766166983. The next prime is 766167019. The reversal of 766167013 is 310761667.

It can be written as a sum of positive squares in 4 ways, for example, as 6723649 + 759443364 = 2593^2 + 27558^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 766167013 - 25 = 766166981 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 (766167019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13203 + ... + 41311.

It is an arithmetic number, because the mean of its divisors is an integer number (97105995).

Almost surely, 2766167013 is an apocalyptic number.

It is an amenable number.

766167013 is a deficient number, since it is larger than the sum of its proper divisors (10680947).

766167013 is a wasteful number, since it uses less digits than its factorization.

766167013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28487.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 766167013 is about 27679.7220542404. The cubic root of 766167013 is about 915.0422559044.

The spelling of 766167013 in words is "seven hundred sixty-six million, one hundred sixty-seven thousand, thirteen".

Divisors: 1 97 281 27257 28109 2726573 7898629 766167013