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5054514336 = 253227136469
BaseRepresentation
bin1001011010100010…
…11100010010100000
3111001020221221011200
410231101130102200
540322423424321
62153315441200
7236153443254
oct45521342240
914036857150
105054514336
112164161483
12b908b6200
136272379b1
1435d412264
151e8b23d26
hex12d45c4a0

5054514336 has 72 divisors (see below), whose sum is σ = 14381296020. Its totient is φ = 1683956736.

The previous prime is 5054514331. The next prime is 5054514343. The reversal of 5054514336 is 6334154505.

5054514336 is a `hidden beast` number, since 505 + 4 + 5 + 143 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5038160400 + 16353936 = 70980^2 + 4044^2 .

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 a self number, because there is not a number n which added to its sum of digits gives 5054514336.

It is not an unprimeable number, because it can be changed into a prime (5054514331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778110 + ... + 784578.

Almost surely, 25054514336 is an apocalyptic number.

It is an amenable number.

5054514336 is an abundant number, since it is smaller than the sum of its proper divisors (9326781684).

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

5054514336 is a wasteful number, since it uses less digits than its factorization.

5054514336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5054514336 is about 71095.1076797834. The cubic root of 5054514336 is about 1716.1680439212.

The spelling of 5054514336 in words is "five billion, fifty-four million, five hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2713 5426 6469 8139 10852 12938 16278 19407 21704 24417 25876 32556 38814 43408 48834 51752 58221 65112 77628 86816 97668 103504 116442 130224 155256 195336 207008 232884 260448 310512 390672 465768 621024 781344 931536 1863072 17550397 35100794 52651191 70201588 105302382 140403176 157953573 210604764 280806352 315907146 421209528 561612704 631814292 842419056 1263628584 1684838112 2527257168 5054514336