Search a number
-
+
67981097015832 = 233711132735129611
BaseRepresentation
bin11110111010100000101010…
…01000111001101000011000
322220200221002112110211101210
433131100111020321220120
532402300241314001312
6400330030153543120
720214320646304650
oct1735202510715030
9286627075424353
1067981097015832
111a72a692002580
12775b237a14aa0
132bc1789142300
1412b0434693360
157cd527243e3c
hex3dd415239a18

67981097015832 has 384 divisors, whose sum is σ = 229481041489920. Its totient is φ = 16296396480000.

The previous prime is 67981097015749. The next prime is 67981097015837. The reversal of 67981097015832 is 23851079018976.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67981097015837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2295790707 + ... + 2295820317.

It is an arithmetic number, because the mean of its divisors is an integer number (597606878880).

Almost surely, 267981097015832 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 67981097015832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114740520744960).

67981097015832 is an abundant number, since it is smaller than the sum of its proper divisors (161499944474088).

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

67981097015832 is a wasteful number, since it uses less digits than its factorization.

67981097015832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37015 (or 36998 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 66.

The spelling of 67981097015832 in words is "sixty-seven trillion, nine hundred eighty-one billion, ninety-seven million, fifteen thousand, eight hundred thirty-two".