Search a number
-
+
19722682980 = 2233571121331107
BaseRepresentation
bin10010010111100100…
…000100001001100100
31212220111201002211000
4102113210010021210
5310343001323410
613021021313300
71265514016320
oct222744041144
955814632730
1019722682980
118400a38700
1239a5105830
131b240bc520
14d51538980
157a673cdc0
hex497904264

19722682980 has 1152 divisors, whose sum is σ = 86487367680. Its totient is φ = 3626726400.

The previous prime is 19722682963. The next prime is 19722682981. The reversal of 19722682980 is 8928622791.

19722682980 is a `hidden beast` number, since 1 + 97 + 2 + 268 + 298 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19722682981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 184324087 + ... + 184324193.

It is an arithmetic number, because the mean of its divisors is an integer number (75075840).

Almost surely, 219722682980 is an apocalyptic number.

19722682980 is a gapful number since it is divisible by the number (10) 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 19722682980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243683840).

19722682980 is an abundant number, since it is smaller than the sum of its proper divisors (66764684700).

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

19722682980 is a wasteful number, since it uses less digits than its factorization.

19722682980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 19722682980 in words is "nineteen billion, seven hundred twenty-two million, six hundred eighty-two thousand, nine hundred eighty".