Search a number
-
+
21304314828 = 223213910973881
BaseRepresentation
bin10011110101110101…
…100000101111001100
32000222201211022211100
4103311311200233030
5322112401033303
613442001223100
71352640455016
oct236565405714
960881738740
1021304314828
119042804065
124166931a90
132016993864
14106160b1b6
1584a50e8a3
hex4f5d60bcc

21304314828 has 72 divisors (see below), whose sum is σ = 54303434640. Its totient is φ = 7042106880.

The previous prime is 21304314803. The next prime is 21304314839. The reversal of 21304314828 is 82841340312.

It is a happy number.

21304314828 is a `hidden beast` number, since 2 + 130 + 43 + 1 + 482 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21304314792 and 21304314801.

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 23 ways as a sum of consecutive naturals, for example, 5487448 + ... + 5491328.

It is an arithmetic number, because the mean of its divisors is an integer number (754214370).

Almost surely, 221304314828 is an apocalyptic number.

It is an amenable number.

21304314828 is an abundant number, since it is smaller than the sum of its proper divisors (32999119812).

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

21304314828 is a wasteful number, since it uses less digits than its factorization.

21304314828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21304314828 in words is "twenty-one billion, three hundred four million, three hundred fourteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1097 1251 1668 2194 2502 3291 3881 4388 5004 6582 7762 9873 11643 13164 15524 19746 23286 34929 39492 46572 69858 139716 152483 304966 457449 539459 609932 914898 1078918 1372347 1618377 1829796 2157836 2744694 3236754 4257457 4855131 5489388 6473508 8514914 9710262 12772371 17029828 19420524 25544742 38317113 51089484 76634226 153268452 591786523 1183573046 1775359569 2367146092 3550719138 5326078707 7101438276 10652157414 21304314828