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33934920336 = 2432235659169
BaseRepresentation
bin11111100110101011…
…011100101010010000
310020120222112120022100
4133212223130222100
51023444314422321
623331155040400
72310640030542
oct374653345220
9106528476270
1033934920336
1113434417a09
1266b08a0100
13327a67b725
1418dcc9b692
15d392e6326
hex7e6adca90

33934920336 has 30 divisors (see below), whose sum is σ = 94970645510. Its totient is φ = 11311640064.

The previous prime is 33934920323. The next prime is 33934920353. The reversal of 33934920336 is 63302943933.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33872193936 + 62726400 = 184044^2 + 7920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33934920291 and 33934920300.

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 5 ways as a sum of consecutive naturals, for example, 117829441 + ... + 117829728.

Almost surely, 233934920336 is an apocalyptic number.

33934920336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33934920336 is an abundant number, since it is smaller than the sum of its proper divisors (61035725174).

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

33934920336 is a wasteful number, since it uses less digits than its factorization.

33934920336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235659183 (or 235659174 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 45.

The spelling of 33934920336 in words is "thirty-three billion, nine hundred thirty-four million, nine hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 235659169 471318338 706977507 942636676 1413955014 1885273352 2120932521 2827910028 3770546704 4241865042 5655820056 8483730084 11311640112 16967460168 33934920336