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72236856384 = 26327118231979
BaseRepresentation
bin100001101000110100…
…1101111010001000000
320220110022101111222100
41003101221233101000
52140420113401014
653103554310400
75135045101560
oct1032151572100
9226408344870
1072236856384
11286a9905410
1211bbbb88400
136a729b1a04
1436d3b28da0
151d2bbad009
hex10d1a6f440

72236856384 has 336 divisors, whose sum is σ = 258589393920. Its totient is φ = 18730552320.

The previous prime is 72236856347. The next prime is 72236856389. The reversal of 72236856384 is 48365863227.

72236856384 is a `hidden beast` number, since 72 + 2 + 3 + 6 + 8 + 563 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 72236856384.

It is not an unprimeable number, because it can be changed into a prime (72236856389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36500707 + ... + 36502685.

Almost surely, 272236856384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72236856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129294696960).

72236856384 is an abundant number, since it is smaller than the sum of its proper divisors (186352537536).

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

72236856384 is a wasteful number, since it uses less digits than its factorization.

72236856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2825 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 72236856384 in words is "seventy-two billion, two hundred thirty-six million, eight hundred fifty-six thousand, three hundred eighty-four".