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34041700506 = 231116722913487
BaseRepresentation
bin11111101101000010…
…110010000010011010
310020212102110120011110
4133231002302002122
51024204133404011
623345531441150
72313404452152
oct375502620232
9106772416143
1034041700506
111348971a490
1267205b61b6
133296827368
14190d135762
15d43889ba6
hex7ed0b209a

34041700506 has 64 divisors (see below), whose sum is σ = 75049390080. Its totient is φ = 10208362560.

The previous prime is 34041700487. The next prime is 34041700523. The reversal of 34041700506 is 60500714043.

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 31 ways as a sum of consecutive naturals, for example, 2517295 + ... + 2530781.

It is an arithmetic number, because the mean of its divisors is an integer number (1172646720).

Almost surely, 234041700506 is an apocalyptic number.

34041700506 is an abundant number, since it is smaller than the sum of its proper divisors (41007689574).

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

34041700506 is a wasteful number, since it uses less digits than its factorization.

34041700506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13899.

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 34041700506 in words is "thirty-four billion, forty-one million, seven hundred thousand, five hundred six".

Divisors: 1 2 3 6 11 22 33 66 167 229 334 458 501 687 1002 1374 1837 2519 3674 5038 5511 7557 11022 13487 15114 26974 38243 40461 76486 80922 114729 148357 229458 296714 420673 445071 841346 890142 1262019 2252329 2524038 3088523 4504658 6177046 6756987 9265569 13513974 18531138 24775619 33973753 49551238 67947506 74326857 101921259 148653714 203842518 515783341 1031566682 1547350023 3094700046 5673616751 11347233502 17020850253 34041700506