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34165710112 = 252414430201
BaseRepresentation
bin11111110100011011…
…110101110100100000
310021012001210220100211
4133310123311310200
51024432410210422
623410121423504
72316441513202
oct376433656440
9107161726324
1034165710112
111354271a766
12675603ab94
1332b6426321
1419217b6772
15d4e6d3577
hex7f46f5d20

34165710112 has 24 divisors (see below), whose sum is σ = 67542859692. Its totient is φ = 17011968000.

The previous prime is 34165710107. The next prime is 34165710113. The reversal of 34165710112 is 21101756143.

It can be written as a sum of positive squares in 2 ways, for example, as 33151669776 + 1014040336 = 182076^2 + 31844^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34165710113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2207389 + ... + 2222812.

Almost surely, 234165710112 is an apocalyptic number.

34165710112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34165710112 is a deficient number, since it is larger than the sum of its proper divisors (33377149580).

34165710112 is a wasteful number, since it uses less digits than its factorization.

34165710112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430452 (or 4430444 counting only the distinct ones).

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

The spelling of 34165710112 in words is "thirty-four billion, one hundred sixty-five million, seven hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 241 482 964 1928 3856 7712 4430201 8860402 17720804 35441608 70883216 141766432 1067678441 2135356882 4270713764 8541427528 17082855056 34165710112