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1813866048 = 26343111287
BaseRepresentation
bin110110000011101…
…0110011001000000
311200102002221110000
41230013112121000
512203322203143
6455553240000
762643415131
oct15407263100
94612087400
101813866048
11850975455
12427563000
1322ba36527
14132c85c88
15a9396bd3
hex6c1d6640

1813866048 has 140 divisors (see below), whose sum is σ = 5550806272. Its totient is φ = 585066240.

The previous prime is 1813866037. The next prime is 1813866053. The reversal of 1813866048 is 8406683181.

It is a happy number.

1813866048 is a `hidden beast` number, since 1 + 8 + 1 + 38 + 6 + 604 + 8 = 666.

It is a super-2 number, since 2×18138660482 = 6580220080174276608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1813865994 and 1813866012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 155061 + ... + 166347.

Almost surely, 21813866048 is an apocalyptic number.

1813866048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775403136).

1813866048 is an abundant number, since it is smaller than the sum of its proper divisors (3736940224).

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

1813866048 is a wasteful number, since it uses less digits than its factorization.

1813866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11323 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1813866048 is about 42589.5063131753. The cubic root of 1813866048 is about 1219.5559720682. Note that the first 3 decimals are identical.

The spelling of 1813866048 in words is "one billion, eight hundred thirteen million, eight hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 11287 13392 17856 20088 22574 26784 33861 40176 45148 53568 67722 80352 90296 101583 135444 160704 180592 203166 270888 304749 349897 361184 406332 541776 609498 699794 722368 812664 914247 1049691 1083552 1218996 1399588 1625328 1828494 2099382 2167104 2437992 2799176 3149073 3250656 3656988 4198764 4875984 5598352 6298146 6501312 7313976 8397528 9447219 9751968 11196704 12596292 14627952 16795056 18894438 19503936 22393408 25192584 28341657 29255904 33590112 37788876 50385168 56683314 58511808 67180224 75577752 100770336 113366628 151155504 201540672 226733256 302311008 453466512 604622016 906933024 1813866048