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66413570724 = 223214741125149
BaseRepresentation
bin111101110110100011…
…101010101010100100
320100102110211221210200
4331312203222222210
52042003333230344
650302053150500
74540535015424
oct756643525244
9210373757720
1066413570724
1126190802736
1210a5592b430
136355409457
14330059a484
151ada830069
hexf768eaaa4

66413570724 has 36 divisors (see below), whose sum is σ = 167891478300. Its totient is φ = 22136178240.

The previous prime is 66413570723. The next prime is 66413570737. The reversal of 66413570724 is 42707531466.

66413570724 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 3 + 570 + 72 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49092378624 + 17321192100 = 221568^2 + 131610^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66413570724.

It is not an unprimeable number, because it can be changed into a prime (66413570723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468102 + ... + 593250.

It is an arithmetic number, because the mean of its divisors is an integer number (4663652175).

Almost surely, 266413570724 is an apocalyptic number.

It is an amenable number.

66413570724 is an abundant number, since it is smaller than the sum of its proper divisors (101477907576).

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

66413570724 is a wasteful number, since it uses less digits than its factorization.

66413570724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139900 (or 139895 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 66413570724 in words is "sixty-six billion, four hundred thirteen million, five hundred seventy thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 14741 29482 44223 58964 88446 125149 132669 176892 250298 265338 375447 500596 530676 750894 1126341 1501788 2252682 4505364 1844821409 3689642818 5534464227 7379285636 11068928454 16603392681 22137856908 33206785362 66413570724