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2163743136 = 253217479403
BaseRepresentation
bin1000000011111000…
…0001100110100000
312120210110112120200
42000332001212200
513412404240021
6554412305200
7104422341012
oct20076014640
95523415520
102163743136
11a10416275
12504772200
132863787a9
141675201b2
15c9e59126
hex80f819a0

2163743136 has 144 divisors (see below), whose sum is σ = 6654420864. Its totient is φ = 664307712.

The previous prime is 2163743107. The next prime is 2163743149. The reversal of 2163743136 is 6313473612.

2163743136 is a `hidden beast` number, since 2 + 1 + 637 + 4 + 3 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21637431362 = 9363568717174228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2163743136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225411 + ... + 234813.

It is an arithmetic number, because the mean of its divisors is an integer number (46211256).

Almost surely, 22163743136 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 2163743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327210432).

2163743136 is an abundant number, since it is smaller than the sum of its proper divisors (4490677728).

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

2163743136 is a wasteful number, since it uses less digits than its factorization.

2163743136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9472 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 2163743136 is about 46516.0524550396. The cubic root of 2163743136 is about 1293.4070814455.

The spelling of 2163743136 in words is "two billion, one hundred sixty-three million, seven hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 47 48 51 68 72 94 96 102 136 141 144 153 188 204 272 282 288 306 376 408 423 544 564 612 752 799 816 846 1128 1224 1504 1598 1632 1692 2256 2397 2448 3196 3384 4512 4794 4896 6392 6768 7191 9403 9588 12784 13536 14382 18806 19176 25568 28209 28764 37612 38352 56418 57528 75224 76704 84627 112836 115056 150448 159851 169254 225672 230112 300896 319702 338508 441941 451344 479553 639404 677016 883882 902688 959106 1278808 1325823 1354032 1438659 1767764 1918212 2557616 2651646 2708064 2877318 3535528 3836424 3977469 5115232 5303292 5754636 7071056 7512997 7672848 7954938 10606584 11509272 14142112 15025994 15345696 15909876 21213168 22538991 23018544 30051988 31819752 42426336 45077982 46037088 60103976 63639504 67616973 90155964 120207952 127279008 135233946 180311928 240415904 270467892 360623856 540935784 721247712 1081871568 2163743136