Search a number
-
+
21201222021984 = 2532270172724779
BaseRepresentation
bin1001101001000010010110…
…10011101011001101100000
32210001211001121121202122200
410310201023103223031200
510234330100314200414
6113031412410533200
74315511021523144
oct464411323531540
983054047552580
1021201222021984
11683442a131354
122464b32437200
13baa360b03774
14534204ba9224
1526b75beac109
hex13484b4eb360

21201222021984 has 72 divisors (see below), whose sum is σ = 60293228846760. Its totient is φ = 7066809835008.

The previous prime is 21201222021979. The next prime is 21201222022051. The reversal of 21201222021984 is 48912022210212.

It is a happy number.

21201222021984 is a `hidden beast` number, since 212 + 0 + 1 + 2 + 220 + 219 + 8 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6418507 + ... + 9143285.

It is an arithmetic number, because the mean of its divisors is an integer number (837405956205).

Almost surely, 221201222021984 is an apocalyptic number.

21201222021984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21201222021984 is an abundant number, since it is smaller than the sum of its proper divisors (39092006824776).

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

21201222021984 is a wasteful number, since it uses less digits than its factorization.

21201222021984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751812 (or 2751801 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21201222021984 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-two million, twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 27017 54034 81051 108068 162102 216136 243153 324204 432272 486306 648408 864544 972612 1296816 1945224 2593632 2724779 3890448 5449558 7780896 8174337 10899116 16348674 21798232 24523011 32697348 43596464 49046022 65394696 87192928 98092044 130789392 196184088 261578784 392368176 784736352 73615354243 147230708486 220846062729 294461416972 441692125458 588922833944 662538188187 883384250916 1177845667888 1325076376374 1766768501832 2355691335776 2650152752748 3533537003664 5300305505496 7067074007328 10600611010992 21201222021984