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28226454516 = 223213509118493
BaseRepresentation
bin11010010010011011…
…011000001111110100
32200212011001110100100
4122102123120033310
5430301433021031
620544514514100
72016322622211
oct322233301764
980764043310
1028226454516
1110a75109067
125578b95930
13287ab082c0
14151aa9ab08
15b03098de6
hex6926d83f4

28226454516 has 72 divisors (see below), whose sum is σ = 76990291560. Its totient is φ = 8667926784.

The previous prime is 28226454499. The next prime is 28226454541. The reversal of 28226454516 is 61545462282.

28226454516 is a `hidden beast` number, since 2 + 8 + 22 + 64 + 54 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 464230116 + 27762224400 = 21546^2 + 166620^2 .

It is a congruent number.

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, 178966 + ... + 297458.

It is an arithmetic number, because the mean of its divisors is an integer number (1069309605).

Almost surely, 228226454516 is an apocalyptic number.

28226454516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28226454516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38495145780).

28226454516 is an abundant number, since it is smaller than the sum of its proper divisors (48763837044).

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

28226454516 is a wasteful number, since it uses less digits than its factorization.

28226454516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119025 (or 119020 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 28226454516 in words is "twenty-eight billion, two hundred twenty-six million, four hundred fifty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 509 1018 1527 2036 3054 4581 6108 6617 9162 13234 18324 19851 26468 39702 59553 79404 118493 119106 236986 238212 355479 473972 710958 1066437 1421916 1540409 2132874 3080818 4265748 4621227 6161636 9242454 13863681 18484908 27727362 55454724 60312937 120625874 180938811 241251748 361877622 542816433 723755244 784068181 1085632866 1568136362 2171265732 2352204543 3136272724 4704409086 7056613629 9408818172 14113227258 28226454516