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18358082064 = 24327216132
BaseRepresentation
bin10001000110001110…
…100001101000010000
31202101101222012021100
4101012032201220100
5300044132111224
612233353224400
71216634060100
oct210616415020
952341865240
1018358082064
117870727853
123684102100
13196748636a
14c621dd200
15726a3bac9
hex4463a1a10

18358082064 has 135 divisors (see below), whose sum is σ = 59802310893. Its totient is φ = 5241914496.

The previous prime is 18358082051. The next prime is 18358082069. The reversal of 18358082064 is 46028085381.

The square root of 18358082064 is 135492.

It is a perfect power (a square), and thus also a powerful number.

18358082064 is a `hidden beast` number, since 1 + 8 + 3 + 580 + 8 + 2 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11470410000 + 6887672064 = 107100^2 + 82992^2 .

It is not an unprimeable number, because it can be changed into a prime (18358082069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11380522 + ... + 11382134.

Almost surely, 218358082064 is an apocalyptic number.

18358082064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18358082064 is the 135492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18358082064

18358082064 is an abundant number, since it is smaller than the sum of its proper divisors (41444228829).

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

18358082064 is an equidigital number, since it uses as much as digits as its factorization.

18358082064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18358082064 in words is "eighteen billion, three hundred fifty-eight million, eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1613 1764 2352 3226 3528 4839 6452 7056 9678 11291 12904 14517 19356 22582 25808 29034 33873 38712 45164 58068 67746 77424 79037 90328 101619 116136 135492 158074 180656 203238 232272 237111 270984 316148 406476 474222 541968 632296 711333 812952 948444 1264592 1422666 1625904 1896888 2601769 2845332 3793776 5203538 5690664 7805307 10407076 11381328 15610614 18212383 20814152 23415921 31221228 36424766 41628304 46831842 54637149 62442456 72849532 93663684 109274298 124884912 127486681 145699064 163911447 187327368 218548596 254973362 291398128 327822894 374654736 382460043 437097192 509946724 655645788 764920086 874194384 1019893448 1147380129 1311291576 1529840172 2039786896 2294760258 2622583152 3059680344 4589520516 6119360688 9179041032 18358082064