Search a number
-
+
5678225316 = 22321926612
BaseRepresentation
bin1010100100111001…
…01101011110100100
3112122201120201210100
411102130231132210
543112111202231
62335240024100
7260466055521
oct52234553644
915581521710
105678225316
1124542347a5
121125762030
136c6515b4a
143bc1ac148
152337771e6
hex15272d7a4

5678225316 has 81 divisors (see below), whose sum is σ = 15171440193. Its totient is φ = 1790411040.

The previous prime is 5678225263. The next prime is 5678225347. The reversal of 5678225316 is 6135228765.

The square root of 5678225316 is 75354.

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

5678225316 is a `hidden beast` number, since 567 + 8 + 22 + 53 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4508585316 + 1169640000 = 67146^2 + 34200^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8590026 + ... + 8590686.

Almost surely, 25678225316 is an apocalyptic number.

5678225316 is the 75354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5678225316

5678225316 is an abundant number, since it is smaller than the sum of its proper divisors (9493214877).

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

5678225316 is a wasteful number, since it uses less digits than its factorization.

5678225316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The cubic root of 5678225316 is about 1784.0384379265.

The spelling of 5678225316 in words is "five billion, six hundred seventy-eight million, two hundred twenty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 661 684 722 1083 1322 1444 1983 2166 2644 3249 3966 4332 5949 6498 7932 11898 12559 12996 23796 25118 37677 50236 75354 113031 150708 226062 238621 436921 452124 477242 715863 873842 954484 1310763 1431726 1747684 2147589 2621526 2863452 3932289 4295178 5243052 7864578 8301499 8590356 15729156 16602998 24904497 33205996 49808994 74713491 99617988 149426982 157728481 298853964 315456962 473185443 630913924 946370886 1419556329 1892741772 2839112658 5678225316