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5146055954064 = 24321890412
BaseRepresentation
bin100101011100010100011…
…0101100100111010010000
3200012221212111011100101100
41022320220311210322100
51133303110311012224
614540022050304400
71040535030613164
oct112705065447220
920187774140340
105146055954064
111704480479613
126b140b888100
132b436a4b351c
1413b0db3caca4
158dcd9e2eac9
hex4ae28d64e90

5146055954064 has 45 divisors (see below), whose sum is σ = 14401885555369. Its totient is φ = 1715342910720.

The previous prime is 5146055954057. The next prime is 5146055954069. The reversal of 5146055954064 is 4604595506415.

It is a happy number.

The square root of 5146055954064 is 2268492.

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

5146055954064 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 0 + 5 + 595 + 40 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 255942904464 + 4890113049600 = 505908^2 + 2211360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5146055954064.

It is not an unprimeable number, because it can be changed into a prime (5146055954069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27127384 + ... + 27316424.

Almost surely, 25146055954064 is an apocalyptic number.

5146055954064 is the 2268492-nd square number.

It is an amenable number.

5146055954064 is an abundant number, since it is smaller than the sum of its proper divisors (9255829601305).

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

5146055954064 is an frugal number, since it uses more digits than its factorization.

5146055954064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378096 (or 189046 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 5146055954064 in words is "five trillion, one hundred forty-six billion, fifty-five million, nine hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 189041 378082 567123 756164 1134246 1512328 1701369 2268492 3024656 3402738 4536984 6805476 9073968 13610952 27221904 35736499681 71472999362 107209499043 142945998724 214418998086 285891997448 321628497129 428837996172 571783994896 643256994258 857675992344 1286513988516 1715351984688 2573027977032 5146055954064