Search a number
-
+
21446830116 = 22325328339719
BaseRepresentation
bin10011111110010101…
…001010100000100100
32001100122222212001100
4103332111022200210
5322410342030431
613504052000100
71356321022335
oct237625124044
961318885040
1021446830116
1191061a3998
1241a6600030
13203a371a2a
14107650828c
15857cb14e6
hex4fe54a824

21446830116 has 72 divisors (see below), whose sum is σ = 55432278720. Its totient is φ = 6989097024.

The previous prime is 21446830021. The next prime is 21446830123. The reversal of 21446830116 is 61103864412.

21446830116 is a `hidden beast` number, since 21 + 446 + 83 + 0 + 116 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520105 + ... + 559823.

It is an arithmetic number, because the mean of its divisors is an integer number (769892760).

Almost surely, 221446830116 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 21446830116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27716139360).

21446830116 is an abundant number, since it is smaller than the sum of its proper divisors (33985448604).

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

21446830116 is a wasteful number, since it uses less digits than its factorization.

21446830116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40065 (or 40060 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21446830116 in words is "twenty-one billion, four hundred forty-six million, eight hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 283 318 477 566 636 849 954 1132 1698 1908 2547 3396 5094 10188 14999 29998 39719 44997 59996 79438 89994 119157 134991 158876 179988 238314 269982 357471 476628 539964 714942 1429884 2105107 4210214 6315321 8420428 11240477 12630642 18945963 22480954 25261284 33721431 37891926 44961908 67442862 75783852 101164293 134885724 202328586 404657172 595745281 1191490562 1787235843 2382981124 3574471686 5361707529 7148943372 10723415058 21446830116