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32400368028 = 22327128572889
BaseRepresentation
bin11110001011001101…
…100110000110011100
310002122001000020021200
4132023031212012130
51012323443234103
622515020155500
72224624404240
oct361315460634
9102561006250
1032400368028
1112817188066
126342998b90
13309477c402
1417d5162420
15c997240a3
hex78b36619c

32400368028 has 36 divisors (see below), whose sum is σ = 93601063920. Its totient is φ = 9257247936.

The previous prime is 32400368003. The next prime is 32400368029. The reversal of 32400368028 is 82086300423.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32400367983 and 32400368001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32400368029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64286193 + ... + 64286696.

Almost surely, 232400368028 is an apocalyptic number.

It is an amenable number.

32400368028 is an abundant number, since it is smaller than the sum of its proper divisors (61200695892).

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

32400368028 is a wasteful number, since it uses less digits than its factorization.

32400368028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128572906 (or 128572901 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 32400368028 in words is "thirty-two billion, four hundred million, three hundred sixty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 128572889 257145778 385718667 514291556 771437334 900010223 1157156001 1542874668 1800020446 2314312002 2700030669 3600040892 4628624004 5400061338 8100092007 10800122676 16200184014 32400368028