Search a number
-
+
21600963072 = 293213360593
BaseRepresentation
bin10100000111100001…
…001000101000000000
32001202102000121201100
4110013201020220000
5323214321304242
613531235334400
71363202104503
oct240741105000
961672017640
1021600963072
1191851a92a7
12422a151400
132063289b70
14108cb8b13a
158665aa54c
hex507848a00

21600963072 has 120 divisors (see below), whose sum is σ = 67137554484. Its totient is φ = 6646431744.

The previous prime is 21600963071. The next prime is 21600963149. The reversal of 21600963072 is 27036900612.

21600963072 is a `hidden beast` number, since 2 + 16 + 0 + 0 + 9 + 630 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18622423296 + 2978539776 = 136464^2 + 54576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21600963071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120393 + ... + 240200.

Almost surely, 221600963072 is an apocalyptic number.

It is an amenable number.

21600963072 is an abundant number, since it is smaller than the sum of its proper divisors (45536591412).

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

21600963072 is a wasteful number, since it uses less digits than its factorization.

21600963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360630 (or 360611 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 21600963072 in words is "twenty-one billion, six hundred million, nine hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 360593 721186 1081779 1442372 2163558 2884744 3245337 4327116 4687709 5769488 6490674 8654232 9375418 11538976 12981348 14063127 17308464 18750836 23077952 25962696 28126254 34616928 37501672 42189381 46155904 51925392 56252508 69233856 75003344 84378762 92311808 103850784 112505016 138467712 150006688 168757524 184623616 207701568 225010032 276935424 300013376 337515048 415403136 450020064 553870848 600026752 675030096 830806272 900040128 1200053504 1350060192 1661612544 1800080256 2400107008 2700120384 3600160512 5400240768 7200321024 10800481536 21600963072