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82460229408 = 2532169212
BaseRepresentation
bin100110011001100000…
…0110011111100100000
321212211210110200021200
41030303000303330200
52322334304320113
6101514240521200
75646304246044
oct1146300637440
9255753420250
1082460229408
1131a75716927
1213b93920200
137a11a4ac6b
143dc37d6024
152229490873
hex1333033f20

82460229408 has 54 divisors (see below), whose sum is σ = 234510136497. Its totient is φ = 27485118720.

The previous prime is 82460229403. The next prime is 82460229451. The reversal of 82460229408 is 80492206428.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82460229408 is a `hidden beast` number, since 82 + 460 + 22 + 94 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78370882704 + 4089346704 = 279948^2 + 63948^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=203052.

It is not an unprimeable number, because it can be changed into a prime (82460229403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4864788 + ... + 4881708.

Almost surely, 282460229408 is an apocalyptic number.

It is an amenable number.

82460229408 is an abundant number, since it is smaller than the sum of its proper divisors (152049907089).

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

82460229408 is an frugal number, since it uses more digits than its factorization.

82460229408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33858 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 82460229408 in words is "eighty-two billion, four hundred sixty million, two hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16921 33842 50763 67684 101526 135368 152289 203052 270736 304578 406104 541472 609156 812208 1218312 1624416 2436624 4873248 286320241 572640482 858960723 1145280964 1717921446 2290561928 2576882169 3435842892 4581123856 5153764338 6871685784 9162247712 10307528676 13743371568 20615057352 27486743136 41230114704 82460229408