Search a number
-
+
65729273372 = 2272929772857
BaseRepresentation
bin111101001101110001…
…010001111000011100
320021122210020001022022
4331031301101320130
52034103143221442
650110130235312
74514555414420
oct751561217034
9207583201268
1065729273372
112596a508a34
12108a4725b38
136276707489
14327774cb80
151a9a7103d2
hexf4dc51e1c

65729273372 has 72 divisors (see below), whose sum is σ = 136334968224. Its totient is φ = 27160971264.

The previous prime is 65729273347. The next prime is 65729273383. The reversal of 65729273372 is 27337292756.

It is a happy number.

It is a super-2 number, since 2×657292733722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23004968 + ... + 23007824.

Almost surely, 265729273372 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 65729273372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68167484112).

65729273372 is an abundant number, since it is smaller than the sum of its proper divisors (70605694852).

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

65729273372 is a wasteful number, since it uses less digits than its factorization.

65729273372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3872 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 53.

The spelling of 65729273372 in words is "sixty-five billion, seven hundred twenty-nine million, two hundred seventy-three thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 841 977 1682 1954 2857 3364 3908 5714 5887 6839 11428 11774 13678 19999 23548 27356 28333 39998 56666 79996 82853 113332 165706 198331 331412 396662 579971 793324 821657 1159942 1643314 2319884 2402737 2791289 3286628 4805474 5582578 5751599 9610948 11165156 11503198 16819159 19539023 23006396 33638318 39078046 67276636 78156092 80947381 161894762 323789524 566631667 1133263334 2266526668 2347474049 4694948098 9389896196 16432318343 32864636686 65729273372