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21304314792 = 233461353633
BaseRepresentation
bin10011110101110101…
…100000101110101000
32000222201211022210000
4103311311200232220
5322112401033132
613442001223000
71352640454635
oct236565405650
960881738700
1021304314792
119042804032
124166931a60
132016993837
14106160b18c
1584a50e87c
hex4f5d60ba8

21304314792 has 80 divisors (see below), whose sum is σ = 59770265940. Its totient is φ = 7089721344.

The previous prime is 21304314763. The next prime is 21304314799. The reversal of 21304314792 is 29741340312.

It is a happy number.

21304314792 is a `hidden beast` number, since 2 + 130 + 431 + 4 + 7 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15349723236 + 5954591556 = 123894^2 + 77166^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21304314799) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 370408 + ... + 424040.

Almost surely, 221304314792 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 21304314792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29885132970).

21304314792 is an abundant number, since it is smaller than the sum of its proper divisors (38465951148).

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

21304314792 is a wasteful number, since it uses less digits than its factorization.

21304314792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54264 (or 54251 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 21304314792 in words is "twenty-one billion, three hundred four million, three hundred fourteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 613 648 1226 1839 2452 3678 4904 5517 7356 11034 14712 16551 22068 33102 44136 49653 53633 66204 99306 107266 132408 160899 198612 214532 321798 397224 429064 482697 643596 965394 1287192 1448091 1930788 2896182 3861576 4344273 5792364 8688546 11584728 17377092 32877029 34754184 65754058 98631087 131508116 197262174 263016232 295893261 394524348 591786522 789048696 887679783 1183573044 1775359566 2367146088 2663039349 3550719132 5326078698 7101438264 10652157396 21304314792