Search a number
-
+
21536620704 = 2532208935797
BaseRepresentation
bin10100000011101011…
…101100000010100000
32001120220221200120200
4110003223230002200
5323101333330304
613521020305200
71361461153434
oct240353540240
961526850520
1021536620704
119151951995
1242106a2200
132052b4c561
1410843dc9c4
15860aeae39
hex503aec0a0

21536620704 has 72 divisors (see below), whose sum is σ = 61275794580. Its totient is φ = 7175236608.

The previous prime is 21536620691. The next prime is 21536620709. The reversal of 21536620704 is 40702663512.

21536620704 is a `hidden beast` number, since 21 + 5 + 3 + 6 + 620 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21506809104 + 29811600 = 146652^2 + 5460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×215366207042 (a number of 21 digits) contains 22 as substring.

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 (21536620709) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 583734 + ... + 619530.

Almost surely, 221536620704 is an apocalyptic number.

21536620704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21536620704 is an abundant number, since it is smaller than the sum of its proper divisors (39739173876).

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

21536620704 is a wasteful number, since it uses less digits than its factorization.

21536620704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37902 (or 37891 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 21536620704 in words is "twenty-one billion, five hundred thirty-six million, six hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2089 4178 6267 8356 12534 16712 18801 25068 33424 35797 37602 50136 66848 71594 75204 100272 107391 143188 150408 200544 214782 286376 300816 322173 429564 572752 601632 644346 859128 1145504 1288692 1718256 2577384 3436512 5154768 10309536 74779933 149559866 224339799 299119732 448679598 598239464 673019397 897359196 1196478928 1346038794 1794718392 2392957856 2692077588 3589436784 5384155176 7178873568 10768310352 21536620704