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11982603816 = 23321780912101
BaseRepresentation
bin10110010100011100…
…00000011000101000
31010221002101100021100
423022032000120220
5144020021310231
65301004441400
7602640311001
oct131216003050
933832340240
1011982603816
11509995a667
1223a4b49260
13118c683621
148195b01a8
154a1e861e6
hex2ca380628

11982603816 has 96 divisors (see below), whose sum is σ = 34407196200. Its totient is φ = 3754291200.

The previous prime is 11982603793. The next prime is 11982603823. The reversal of 11982603816 is 61830628911.

11982603816 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 260 + 381 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10537843716 + 1444760100 = 102654^2 + 38010^2 .

It is a super-2 number, since 2×119826038162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984166 + ... + 996266.

Almost surely, 211982603816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11982603816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203598100).

11982603816 is an abundant number, since it is smaller than the sum of its proper divisors (22424592384).

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

11982603816 is a wasteful number, since it uses less digits than its factorization.

11982603816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12939 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11982603816 in words is "eleven billion, nine hundred eighty-two million, six hundred three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 809 1224 1618 2427 3236 4854 6472 7281 9708 12101 13753 14562 19416 24202 27506 29124 36303 41259 48404 55012 58248 72606 82518 96808 108909 110024 123777 145212 165036 205717 217818 247554 290424 330072 411434 435636 495108 617151 822868 871272 990216 1234302 1645736 1851453 2468604 3702906 4937208 7405812 9789709 14811624 19579418 29369127 39158836 58738254 78317672 88107381 117476508 166425053 176214762 234953016 332850106 352429524 499275159 665700212 704859048 998550318 1331400424 1497825477 1997100636 2995650954 3994201272 5991301908 11982603816