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2268416279064 = 2331313952306223
BaseRepresentation
bin100001000000101000001…
…001011000001000011000
322000212011211102121122010
4201000220021120020120
5244131204031412224
64454032425225520
7322613320142355
oct41005011301030
98025154377563
102268416279064
117a5036941081
123077740322a0
13135babb749c0
147bb130cd62c
153e0179cbe29
hex21028258218

2268416279064 has 64 divisors (see below), whose sum is σ = 6151211942400. Its totient is φ = 692952829056.

The previous prime is 2268416279057. The next prime is 2268416279081. The reversal of 2268416279064 is 4609726148622.

It is a junction number, because it is equal to n+sod(n) for n = 2268416278995 and 2268416279013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26109744 + ... + 26196479.

It is an arithmetic number, because the mean of its divisors is an integer number (96112686600).

Almost surely, 22268416279064 is an apocalyptic number.

2268416279064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2268416279064 is an abundant number, since it is smaller than the sum of its proper divisors (3882795663336).

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

2268416279064 is a wasteful number, since it uses less digits than its factorization.

2268416279064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52306384 (or 52306380 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 2268416279064 in words is "two trillion, two hundred sixty-eight billion, four hundred sixteen million, two hundred seventy-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 139 156 278 312 417 556 834 1112 1668 1807 3336 3614 5421 7228 10842 14456 21684 43368 52306223 104612446 156918669 209224892 313837338 418449784 627674676 679980899 1255349352 1359961798 2039942697 2719923596 4079885394 5439847192 7270564997 8159770788 14541129994 16319541576 21811694991 29082259988 43623389982 58164519976 87246779964 94517344961 174493559928 189034689922 283552034883 378069379844 567104069766 756138759688 1134208139532 2268416279064