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5064490224 = 2433103113819
BaseRepresentation
bin1001011011101110…
…11111110011110000
3111001221201202112000
410231313133303300
540333002141344
62154313334000
7236334312423
oct45567376360
914057652460
105064490224
112169855512
12b94107300
1362931b5a1
1436088b9ba
151e9944a69
hex12dddfcf0

5064490224 has 80 divisors (see below), whose sum is σ = 14678227200. Its totient is φ = 1671758784.

The previous prime is 5064490201. The next prime is 5064490253. The reversal of 5064490224 is 4220944605.

5064490224 is a `hidden beast` number, since 5 + 0 + 644 + 9 + 0 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×50644902242 = 51298122457983140352, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12414 + ... + 101405.

It is an arithmetic number, because the mean of its divisors is an integer number (183477840).

Almost surely, 25064490224 is an apocalyptic number.

5064490224 is a gapful number since it is divisible by the number (54) 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 5064490224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339113600).

5064490224 is an abundant number, since it is smaller than the sum of its proper divisors (9613736976).

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

5064490224 is a wasteful number, since it uses less digits than its factorization.

5064490224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113939 (or 113927 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5064490224 is about 71165.2318481434. The cubic root of 5064490224 is about 1717.2963454868.

The spelling of 5064490224 in words is "five billion, sixty-four million, four hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3708 4944 5562 7416 11124 14832 22248 44496 113819 227638 341457 455276 682914 910552 1024371 1365828 1821104 2048742 2731656 3073113 4097484 5463312 6146226 8194968 11723357 12292452 16389936 23446714 24584904 35170071 46893428 49169808 70340142 93786856 105510213 140680284 187573712 211020426 281360568 316530639 422040852 562721136 633061278 844081704 1266122556 1688163408 2532245112 5064490224