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5166286632 = 23321323323689
BaseRepresentation
bin1001100111110111…
…10100011100101000
3111100001021112221100
410303323310130220
541040032133012
62212351241400
7242011466103
oct46373643450
914301245840
105166286632
112211263681
121002219260
13644440950
143701c973a
152038518dc
hex133ef4728

5166286632 has 96 divisors (see below), whose sum is σ = 15133645800. Its totient is φ = 1582737408.

The previous prime is 5166286597. The next prime is 5166286633. The reversal of 5166286632 is 2366826615.

5166286632 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 2 + 8 + 6 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1228222116 + 3938064516 = 35046^2 + 62754^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5166286633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206244 + ... + 229932.

Almost surely, 25166286632 is an apocalyptic number.

5166286632 is a gapful number since it is divisible by the number (52) 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 5166286632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566822900).

5166286632 is an abundant number, since it is smaller than the sum of its proper divisors (9967359168).

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

5166286632 is a wasteful number, since it uses less digits than its factorization.

5166286632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23947 (or 23940 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 5166286632 is about 71876.8852413625. The cubic root of 5166286632 is about 1728.7260082654.

The spelling of 5166286632 in words is "five billion, one hundred sixty-six million, two hundred eighty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 233 234 312 466 468 699 932 936 1398 1864 2097 2796 3029 4194 5592 6058 8388 9087 12116 16776 18174 23689 24232 27261 36348 47378 54522 71067 72696 94756 109044 142134 189512 213201 218088 284268 307957 426402 568536 615914 852804 923871 1231828 1705608 1847742 2463656 2771613 3695484 5519537 5543226 7390968 11039074 11086452 16558611 22078148 22172904 33117222 44156296 49675833 66234444 71753981 99351666 132468888 143507962 198703332 215261943 287015924 397406664 430523886 574031848 645785829 861047772 1291571658 1722095544 2583143316 5166286632