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71296316064 = 2532943926227
BaseRepresentation
bin100001001100110010…
…1110111001010100000
320211000202121010012200
41002121211313022200
52132003324103224
652430355253200
75102534454531
oct1023145671240
9224022533180
1071296316064
1128266a03566
1211998baa200
136952b9288c
143644c58688
151cc43245c9
hex10999772a0

71296316064 has 72 divisors (see below), whose sum is σ = 202778110080. Its totient is φ = 23762014848.

The previous prime is 71296316041. The next prime is 71296316101. The reversal of 71296316064 is 46061369217.

71296316064 is a `hidden beast` number, since 7 + 1 + 2 + 9 + 6 + 31 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2705319 + ... + 2731545.

It is an arithmetic number, because the mean of its divisors is an integer number (2816362640).

Almost surely, 271296316064 is an apocalyptic number.

It is an amenable number.

71296316064 is an abundant number, since it is smaller than the sum of its proper divisors (131481794016).

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

71296316064 is a wasteful number, since it uses less digits than its factorization.

71296316064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35682 (or 35671 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 71296316064 in words is "seventy-one billion, two hundred ninety-six million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9439 18878 26227 28317 37756 52454 56634 75512 78681 84951 104908 113268 151024 157362 169902 209816 226536 236043 302048 314724 339804 419632 453072 472086 629448 679608 839264 906144 944172 1258896 1359216 1888344 2517792 2718432 3776688 7553376 247556653 495113306 742669959 990226612 1485339918 1980453224 2228009877 2970679836 3960906448 4456019754 5941359672 7921812896 8912039508 11882719344 17824079016 23765438688 35648158032 71296316064