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816106629 = 31320925811
BaseRepresentation
bin110000101001001…
…100110010000101
32002212122111211110
4300221030302011
53132410403004
6212551555233
726136535422
oct6051146205
92085574743
10816106629
11389741a98
121a938bb19
13100102140
147a55cd49
154b9a9589
hex30a4cc85

816106629 has 8 divisors (see below), whose sum is σ = 1171845472. Its totient is φ = 502219440.

The previous prime is 816106619. The next prime is 816106657. The reversal of 816106629 is 926601618.

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

It is not a de Polignac number, because 816106629 - 25 = 816106597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 20925811 = 816106629 / (8 + 1 + 6 + 1 + 0 + 6 + 6 + 2 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816106619) 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, 10462867 + ... + 10462944.

It is an arithmetic number, because the mean of its divisors is an integer number (146480684).

Almost surely, 2816106629 is an apocalyptic number.

It is an amenable number.

816106629 is a deficient number, since it is larger than the sum of its proper divisors (355738843).

816106629 is a wasteful number, since it uses less digits than its factorization.

816106629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20925827.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 816106629 is about 28567.5800340176. The cubic root of 816106629 is about 934.5064469816.

The spelling of 816106629 in words is "eight hundred sixteen million, one hundred six thousand, six hundred twenty-nine".

Divisors: 1 3 13 39 20925811 62777433 272035543 816106629