Search a number
-
+
66507415422 = 2377923098681
BaseRepresentation
bin111101111100001001…
…101001111101111110
320100200000102202112020
4331330021221331332
52042201344243142
650315244421010
74543054463220
oct757411517576
9210600382466
1066507415422
112622977a638
1210a81247766
13636b9a6366
14330cc28410
151ae3bbacec
hexf7c269f7e

66507415422 has 64 divisors (see below), whose sum is σ = 154025625600. Its totient is φ = 18751299840.

The previous prime is 66507415399. The next prime is 66507415423. The reversal of 66507415422 is 22451470566.

It is a super-2 number, since 2×665074154222 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66507415423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7656922 + ... + 7665602.

It is an arithmetic number, because the mean of its divisors is an integer number (2406650400).

Almost surely, 266507415422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66507415422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77012812800).

66507415422 is an abundant number, since it is smaller than the sum of its proper divisors (87518210178).

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

66507415422 is a wasteful number, since it uses less digits than its factorization.

66507415422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11081.

The product of its (nonzero) digits is 403200, while the sum is 42.

Adding to 66507415422 its reverse (22451470566), we get a palindrome (88958885988).

The spelling of 66507415422 in words is "sixty-six billion, five hundred seven million, four hundred fifteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1106 1659 2309 3318 4618 6927 8681 13854 16163 17362 26043 32326 48489 52086 60767 96978 121534 182301 182411 364602 364822 547233 685799 1094466 1276877 1371598 2057397 2553754 3830631 4114794 4800593 7661262 9601186 14401779 20044429 28803558 40088858 60133287 120266574 140311003 280622006 420933009 841866018 1583509891 3167019782 4750529673 9501059346 11084569237 22169138474 33253707711 66507415422