Search a number
-
+
28446160032 = 2532372669497
BaseRepresentation
bin11010011111100001…
…011111010010100000
32201102110110122122200
4122133201133102200
5431224204110112
621022403533200
72024631241113
oct323741372240
981373418580
1028446160032
1111078130074
12561a68a200
1328b44a1974
14153bd2c57a
15b174e6cdc
hex69f85f4a0

28446160032 has 72 divisors (see below), whose sum is σ = 83080116756. Its totient is φ = 9225778176.

The previous prime is 28446160031. The next prime is 28446160109. The reversal of 28446160032 is 23006164482.

28446160032 is a `hidden beast` number, since 2 + 8 + 4 + 4 + 616 + 0 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26685182736 + 1760977296 = 163356^2 + 41964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (28446160031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324093 + ... + 1345404.

Almost surely, 228446160032 is an apocalyptic number.

It is an amenable number.

28446160032 is an abundant number, since it is smaller than the sum of its proper divisors (54633956724).

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

28446160032 is a wasteful number, since it uses less digits than its factorization.

28446160032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669550 (or 2669539 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28446160032 in words is "twenty-eight billion, four hundred forty-six million, one hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 2669497 5338994 8008491 10677988 16016982 21355976 24025473 32033964 42711952 48050946 64067928 85423904 96101892 98771389 128135856 192203784 197542778 256271712 296314167 384407568 395085556 592628334 768815136 790171112 888942501 1185256668 1580342224 1777885002 2370513336 3160684448 3555770004 4741026672 7111540008 9482053344 14223080016 28446160032