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83453223672 = 23357132916267
BaseRepresentation
bin100110110111000110…
…0110010001011111000
321222101222222000100000
41031232030302023320
52331403011124142
6102200552113000
76013022461050
oct1155614621370
9258358860300
1083453223672
1132435195145
1214210395760
137b3c6a4430
14407963c560
15228673b14c
hex136e3322f8

83453223672 has 384 divisors, whose sum is σ = 298446220800. Its totient is φ = 21249381888.

The previous prime is 83453223599. The next prime is 83453223673. The reversal of 83453223672 is 27632235438.

83453223672 is a `hidden beast` number, since 8 + 34 + 532 + 23 + 67 + 2 = 666.

It is a super-2 number, since 2×834532236722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83453223673) 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 95 ways as a sum of consecutive naturals, for example, 5122083 + ... + 5138349.

It is an arithmetic number, because the mean of its divisors is an integer number (777203700).

Almost surely, 283453223672 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 83453223672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149223110400).

83453223672 is an abundant number, since it is smaller than the sum of its proper divisors (214992997128).

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

83453223672 is a wasteful number, since it uses less digits than its factorization.

83453223672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16337 (or 16321 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 83453223672 in words is "eighty-three billion, four hundred fifty-three million, two hundred twenty-three thousand, six hundred seventy-two".