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428116923600 = 24352356764103
BaseRepresentation
bin1100011101011011100…
…00011101010011010000
31111221001012112002011120
412032231300131103100
524003240413023400
6524401343242240
742634064544132
oct6165560352320
91457035462146
10428116923600
1115562192a243
126ab7b5a9380
13314a9846942
1416a144ab052
15b20a058ca0
hex63adc1d4d0

428116923600 has 60 divisors (see below), whose sum is σ = 1371401215776. Its totient is φ = 114164512640.

The previous prime is 428116923587. The next prime is 428116923607. The reversal of 428116923600 is 6329611824.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428116923607) by changing a digit.

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, 178380852 + ... + 178383251.

Almost surely, 2428116923600 is an apocalyptic number.

428116923600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428116923600 is an abundant number, since it is smaller than the sum of its proper divisors (943284292176).

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

428116923600 is a wasteful number, since it uses less digits than its factorization.

428116923600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356764124 (or 356764113 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 428116923600 in words is "four hundred twenty-eight billion, one hundred sixteen million, nine hundred twenty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 356764103 713528206 1070292309 1427056412 1783820515 2140584618 2854112824 3567641030 4281169236 5351461545 5708225648 7135282060 8562338472 8919102575 10702923090 14270564120 17124676944 17838205150 21405846180 26757307725 28541128240 35676410300 42811692360 53514615450 71352820600 85623384720 107029230900 142705641200 214058461800 428116923600