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83793969432 = 233231411675483
BaseRepresentation
bin100111000001010000…
…0101000000100011000
322000021202010200122100
41032002200220010120
52333102224010212
6102254443323400
76024330662655
oct1160240500430
9260252120570
1083793969432
113259a569508
12142a6520560
137b9516a344
1440ac9bac2c
1522a65e7bdc
hex1382828118

83793969432 has 192 divisors, whose sum is σ = 241457448960. Its totient is φ = 26208345600.

The previous prime is 83793969431. The next prime is 83793969437. The reversal of 83793969432 is 23496939738.

It is a self number, because there is not a number n which added to its sum of digits gives 83793969432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83793969431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15279763 + ... + 15285245.

It is an arithmetic number, because the mean of its divisors is an integer number (1257590880).

Almost surely, 283793969432 is an apocalyptic number.

83793969432 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83793969432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120728724480).

83793969432 is an abundant number, since it is smaller than the sum of its proper divisors (157663479528).

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

83793969432 is a wasteful number, since it uses less digits than its factorization.

83793969432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5727 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 83793969432 in words is "eighty-three billion, seven hundred ninety-three million, nine hundred sixty-nine thousand, four hundred thirty-two".