Search a number
-
+
21412929312 = 25348261161
BaseRepresentation
bin10011111100010011…
…110101111100100000
32001021022012111220000
4103330103311330200
5322323202214222
613500441220000
71355426616225
oct237423657440
961238174800
1021412929312
1190990497a5
124197191600
132033332398
141071c0194c
15854d169ac
hex4fc4f5f20

21412929312 has 60 divisors (see below), whose sum is σ = 62974837926. Its totient is φ = 7137642240.

The previous prime is 21412929283. The next prime is 21412929323. The reversal of 21412929312 is 21392921412.

21412929312 is a `hidden beast` number, since 214 + 129 + 2 + 9 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20829416976 + 583512336 = 144324^2 + 24156^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4127989 + ... + 4133172.

Almost surely, 221412929312 is an apocalyptic number.

It is an amenable number.

21412929312 is an abundant number, since it is smaller than the sum of its proper divisors (41561908614).

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

21412929312 is an equidigital number, since it uses as much as digits as its factorization.

21412929312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261183 (or 8261166 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 21412929312 in words is "twenty-one billion, four hundred twelve million, nine hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 8261161 16522322 24783483 33044644 49566966 66089288 74350449 99133932 132178576 148700898 198267864 223051347 264357152 297401796 396535728 446102694 594803592 669154041 793071456 892205388 1189607184 1338308082 1784410776 2379214368 2676616164 3568821552 5353232328 7137643104 10706464656 21412929312