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18618056704 = 216132412
BaseRepresentation
bin10001010101101110…
…010000000000000000
31210001112011021102201
4101111232100000000
5301112210303304
612315241322544
71226241604462
oct212556200000
953045137381
1018618056704
117994453625
123737196454
1319a92abc00
14c88954132
1573e7913a4
hex455b90000

18618056704 has 153 divisors (see below), whose sum is σ = 41327865939. Its totient is φ = 8383365120.

The previous prime is 18618056621. The next prime is 18618056789. The reversal of 18618056704 is 40765081681.

The square root of 18618056704 is 136448.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12401049600 + 6217007104 = 111360^2 + 78848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 454098924 + ... + 454098964.

Almost surely, 218618056704 is an apocalyptic number.

18618056704 is the 136448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18618056704

18618056704 is an abundant number, since it is smaller than the sum of its proper divisors (22709809235).

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

18618056704 is an frugal number, since it uses more digits than its factorization.

18618056704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 18618056704 in words is "eighteen billion, six hundred eighteen million, fifty-six thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 169 208 256 328 338 416 512 533 656 676 832 1024 1066 1312 1352 1664 1681 2048 2132 2624 2704 3328 3362 4096 4264 5248 5408 6656 6724 6929 8192 8528 10496 10816 13312 13448 13858 16384 17056 20992 21632 21853 26624 26896 27716 32768 34112 41984 43264 43706 53248 53792 55432 65536 68224 83968 86528 87412 106496 107584 110864 136448 167936 173056 174824 212992 215168 221728 272896 284089 335872 346112 349648 425984 430336 443456 545792 568178 671744 692224 699296 851968 860672 886912 1091584 1136356 1343488 1384448 1398592 1721344 1773824 2183168 2272712 2686976 2768896 2797184 3442688 3547648 4366336 4545424 5537792 5594368 6885376 7095296 8732672 9090848 11075584 11188736 13770752 14190592 17465344 18181696 22377472 27541504 28381184 34930688 36363392 44754944 55083008 56762368 72726784 89509888 110166016 113524736 145453568 179019776 227049472 290907136 358039552 454098944 581814272 716079104 1163628544 1432158208 2327257088 4654514176 9309028352 18618056704