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33806396970 = 2325375626633
BaseRepresentation
bin11111011111000001…
…001010111000101010
310020021000200220101200
4133133001022320222
51023213414200340
623310324225030
72304516430053
oct373701127052
9106230626350
1033806396970
1113378914455
12667583b176
133259b5c0b8
1418c9ba372a
15d2cdaa330
hex7df04ae2a

33806396970 has 24 divisors (see below), whose sum is σ = 87896632356. Its totient is φ = 9015039168.

The previous prime is 33806396957. The next prime is 33806396989. The reversal of 33806396970 is 7969360833.

It can be written as a sum of positive squares in 2 ways, for example, as 32148848601 + 1657548369 = 179301^2 + 40713^2 .

It is a super-2 number, since 2×338063969702 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187813227 + ... + 187813406.

Almost surely, 233806396970 is an apocalyptic number.

33806396970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33806396970 is an abundant number, since it is smaller than the sum of its proper divisors (54090235386).

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

33806396970 is a wasteful number, since it uses less digits than its factorization.

33806396970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375626646 (or 375626643 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 33806396970 in words is "thirty-three billion, eight hundred six million, three hundred ninety-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 375626633 751253266 1126879899 1878133165 2253759798 3380639697 3756266330 5634399495 6761279394 11268798990 16903198485 33806396970