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28105181316 = 2232279412
BaseRepresentation
bin11010001011001100…
…110000100010000100
32200112200212010210100
4122023030300202010
5430024411300231
620524503324100
72013321046062
oct321314604204
980480763710
1028105181316
1110a12707783
125544450630
13285b956a04
14150892d032
15ae75e11e6
hex68b330884

28105181316 has 27 divisors (see below), whose sum is σ = 71046195493. Its totient is φ = 9368058480.

The previous prime is 28105181287. The next prime is 28105181317. The reversal of 28105181316 is 61318150182.

The square root of 28105181316 is 167646.

It is a perfect power (a square), and thus also a powerful number.

28105181316 is a `hidden beast` number, since 2 + 8 + 1 + 0 + 518 + 131 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13676366916 + 14428814400 = 116946^2 + 120120^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28105181317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 991906 + ... + 1019846.

Almost surely, 228105181316 is an apocalyptic number.

28105181316 is the 167646-th square number.

It is an amenable number.

28105181316 is an abundant number, since it is smaller than the sum of its proper divisors (42941014177).

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

28105181316 is an frugal number, since it uses more digits than its factorization.

28105181316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55892 (or 27946 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Multiplying 28105181316 by its sum of digits (36), we get a square (1011786527376 = 10058762).

28105181316 divided by its sum of digits (36) gives a square (780699481 = 279412).

The spelling of 28105181316 in words is "twenty-eight billion, one hundred five million, one hundred eighty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 27941 55882 83823 111764 167646 251469 335292 502938 1005876 780699481 1561398962 2342098443 3122797924 4684196886 7026295329 9368393772 14052590658 28105181316