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34125065154 = 2332232833837
BaseRepresentation
bin11111110010000000…
…110010101111000010
310021002020022220222000
4133302000302233002
51024342004041104
623402110324430
72315436160605
oct376200625702
9107066286860
1034125065154
1113521789594
1267444b9716
1332aab9505b
14191a23633c
15d4ad55639
hex7f2032bc2

34125065154 has 32 divisors (see below), whose sum is σ = 76173565440. Its totient is φ = 11324008656.

The previous prime is 34125065147. The next prime is 34125065213. The reversal of 34125065154 is 45156052143.

34125065154 is a `hidden beast` number, since 341 + 250 + 65 + 1 + 5 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404877 + ... + 1428960.

It is an arithmetic number, because the mean of its divisors is an integer number (2380423920).

Almost surely, 234125065154 is an apocalyptic number.

34125065154 is an abundant number, since it is smaller than the sum of its proper divisors (42048500286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34125065154 is a wasteful number, since it uses less digits than its factorization.

34125065154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834071 (or 2834065 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 34125065154 in words is "thirty-four billion, one hundred twenty-five million, sixty-five thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 223 446 669 1338 2007 4014 6021 12042 2833837 5667674 8501511 17003022 25504533 51009066 76513599 153027198 631945651 1263891302 1895836953 3791673906 5687510859 11375021718 17062532577 34125065154