Search a number
-
+
66688889022 = 232723372232789
BaseRepresentation
bin111110000110111101…
…111011000010111110
320101010122220120111200
4332012331323002332
52043034323422042
650345250200330
74550420126610
oct760675730276
9211118816450
1066688889022
1126312159418
1210b11b830a6
13639a474ba2
143328d86db0
151b04ab5c4c
hexf86f7b0be

66688889022 has 192 divisors, whose sum is σ = 177828618240. Its totient is φ = 17647103232.

The previous prime is 66688889021. The next prime is 66688889041. The reversal of 66688889022 is 22098888666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66688889021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23910004 + ... + 23912792.

It is an arithmetic number, because the mean of its divisors is an integer number (926190720).

Almost surely, 266688889022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66688889022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914309120).

66688889022 is an abundant number, since it is smaller than the sum of its proper divisors (111139729218).

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

66688889022 is a wasteful number, since it uses less digits than its factorization.

66688889022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 66688889022 in words is "sixty-six billion, six hundred eighty-eight million, eight hundred eighty-nine thousand, twenty-two".