Search a number
-
+
2163694032 = 24344393803
BaseRepresentation
bin1000000011110111…
…0101100111010000
312120210101001020000
42000331311213100
513412401202112
6554411250000
7104422044603
oct20075654720
95523331200
102163694032
11a10392395
12504749900
1328635c336
1416750a33a
15c9e497dc
hex80f759d0

2163694032 has 100 divisors (see below), whose sum is σ = 6278273760. Its totient is φ = 719399232.

The previous prime is 2163693997. The next prime is 2163694033. The reversal of 2163694032 is 2304963612.

2163694032 is a `hidden beast` number, since 216 + 36 + 9 + 403 + 2 = 666.

It is a super-2 number, since 2×21636940322 = 9363143728224834048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163694033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 567043 + ... + 570845.

Almost surely, 22163694032 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 2163694032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139136880).

2163694032 is an abundant number, since it is smaller than the sum of its proper divisors (4114579728).

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

2163694032 is a wasteful number, since it uses less digits than its factorization.

2163694032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2163694032 is about 46515.5246342552. The cubic root of 2163694032 is about 1293.3972971754.

The spelling of 2163694032 in words is "two billion, one hundred sixty-three million, six hundred ninety-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 439 648 878 1296 1317 1756 2634 3512 3803 3951 5268 7024 7606 7902 10536 11409 11853 15212 15804 21072 22818 23706 30424 31608 34227 35559 45636 47412 60848 63216 68454 71118 91272 94824 102681 136908 142236 182544 189648 205362 273816 284472 308043 410724 547632 568944 616086 821448 1232172 1642896 1669517 2464344 3339034 4928688 5008551 6678068 10017102 13356136 15025653 20034204 26712272 30051306 40068408 45076959 60102612 80136816 90153918 120205224 135230877 180307836 240410448 270461754 360615672 540923508 721231344 1081847016 2163694032