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18948734262144 = 27336189882809
BaseRepresentation
bin1000100111011110110001…
…00100110001101110000000
32111002110222212111202122000
410103233120210301232000
54440424001432342034
6104144532304544000
73664000204466151
oct423573044615600
974073885452560
1018948734262144
116046127553555
122160484922000
13a75b1cc7848b
144971a3361928
1522cd77aa6599
hex113bd8931b80

18948734262144 has 128 divisors (see below), whose sum is σ = 56841889044000. Its totient is φ = 6212699688960.

The previous prime is 18948734262127. The next prime is 18948734262163. The reversal of 18948734262144 is 44126243784981.

18948734262144 is a `hidden beast` number, since 1 + 8 + 9 + 487 + 3 + 4 + 2 + 6 + 2 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×189487342621442 (a number of 27 digits) 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 15 ways as a sum of consecutive naturals, for example, 44730589 + ... + 45152220.

Almost surely, 218948734262144 is an apocalyptic number.

It is an amenable number.

18948734262144 is an abundant number, since it is smaller than the sum of its proper divisors (37893154781856).

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

18948734262144 is an equidigital number, since it uses as much as digits as its factorization.

18948734262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89882893 (or 89882875 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 18948734262144 in words is "eighteen trillion, nine hundred forty-eight billion, seven hundred thirty-four million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 288 366 384 432 488 549 576 732 864 976 1098 1152 1464 1647 1728 1952 2196 2928 3294 3456 3904 4392 5856 6588 7808 8784 11712 13176 17568 23424 26352 35136 52704 70272 105408 210816 89882809 179765618 269648427 359531236 539296854 719062472 808945281 1078593708 1438124944 1617890562 2157187416 2426835843 2876249888 3235781124 4314374832 4853671686 5482851349 5752499776 6471562248 8628749664 9707343372 10965702698 11504999552 12943124496 16448554047 17257499328 19414686744 21931405396 25886248992 32897108094 34514998656 38829373488 43862810792 49345662141 51772497984 65794216188 77658746976 87725621584 98691324282 103544995968 131588432376 148036986423 155317493952 175451243168 197382648564 263176864752 296073972846 310634987904 350902486336 394765297128 526353729504 592147945692 701804972672 789530594256 1052707459008 1184295891384 1579061188512 2105414918016 2368591782768 3158122377024 4737183565536 6316244754048 9474367131072 18948734262144