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2263764816 = 243241383429
BaseRepresentation
bin1000011011101110…
…0100111101010000
312211202200011112100
42012323210331100
514114010433231
61012344200400
7110045453265
oct20673447520
95752604470
102263764816
11a61922015
12532169100
132a0cc9111
1417691926c
15d3b151e6
hex86ee4f50

2263764816 has 60 divisors (see below), whose sum is σ = 6489936180. Its totient is φ = 736181760.

The previous prime is 2263764787. The next prime is 2263764859. The reversal of 2263764816 is 6184673622.

2263764816 is a `hidden beast` number, since 2 + 2 + 637 + 6 + 4 + 8 + 1 + 6 = 666.

2263764816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 850305600 + 1413459216 = 29160^2 + 37596^2 .

It is a super-2 number, since 2×22637648162 = 10249262284319027712, which contains 22 as substring.

It is a congruent number.

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, 185811 + ... + 197618.

It is an arithmetic number, because the mean of its divisors is an integer number (108165603).

Almost surely, 22263764816 is an apocalyptic number.

It is an amenable number.

2263764816 is an abundant number, since it is smaller than the sum of its proper divisors (4226171364).

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

2263764816 is a wasteful number, since it uses less digits than its factorization.

2263764816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383484 (or 383475 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2263764816 is about 47579.0375690808. The cubic root of 2263764816 is about 1313.0374162732.

The spelling of 2263764816 in words is "two billion, two hundred sixty-three million, seven hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 383429 766858 1150287 1533716 2300574 3067432 3450861 4601148 6134864 6901722 9202296 13803444 15720589 18404592 27606888 31441178 47161767 55213776 62882356 94323534 125764712 141485301 188647068 251529424 282970602 377294136 565941204 754588272 1131882408 2263764816