Search a number
-
+
21444778592 = 2553109311373
BaseRepresentation
bin10011111110001101…
…010101101001100000
32001100112010121212222
4103332031111221200
5322404330403332
613503540010212
71356264416246
oct237615255140
961315117788
1021444778592
119105022616
1241a5990968
132039b04003
141076132796
15857a08712
hex4fe355a60

21444778592 has 96 divisors (see below), whose sum is σ = 43666983360. Its totient is φ = 10362193920.

The previous prime is 21444778591. The next prime is 21444778601. The reversal of 21444778592 is 29587744412.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444778591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57492518 + ... + 57492890.

It is an arithmetic number, because the mean of its divisors is an integer number (454864410).

Almost surely, 221444778592 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 21444778592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833491680).

21444778592 is an abundant number, since it is smaller than the sum of its proper divisors (22222204768).

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

21444778592 is a wasteful number, since it uses less digits than its factorization.

21444778592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 848 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 53.

The spelling of 21444778592 in words is "twenty-one billion, four hundred forty-four million, seven hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 106 109 212 218 311 373 424 436 622 746 848 872 1244 1492 1696 1744 2488 2984 3488 4976 5777 5968 9952 11554 11936 16483 19769 23108 32966 33899 39538 40657 46216 65932 67798 79076 81314 92432 116003 131864 135596 158152 162628 184864 232006 263728 271192 316304 325256 464012 527456 542384 632608 650512 928024 1084768 1301024 1796647 1856048 2154821 3593294 3712096 4309642 6148159 7186588 8619284 12296318 12644327 14373176 17238568 24592636 25288654 28746352 34477136 49185272 50577308 57492704 68954272 98370544 101154616 196741088 202309232 404618464 670149331 1340298662 2680597324 5361194648 10722389296 21444778592