Search a number
-
+
646043114625552 = 243273143539071831
BaseRepresentation
bin1001001011100100101010001…
…0010110110101101000010000
310010201110010012110010122110100
42102321022202112311220100
51134134232244321004202
610210004035403532400
7253036034431160010
oct22271124226655020
93121403173118410
10646043114625552
11177938389995806
126055b597b2a100
13219637b1862817
14b576921627c40
154ea50e5ee141c
hex24b92a25b5a10

646043114625552 has 480 divisors, whose sum is σ = 2223752486731776. Its totient is φ = 171183254860800.

The previous prime is 646043114625511. The next prime is 646043114625641. The reversal of 646043114625552 is 255526411340646.

646043114625552 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 4 + 3 + 1 + 1 + 4 + 625 + 5 + 5 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66678277 + ... + 75750107.

Almost surely, 2646043114625552 is an apocalyptic number.

646043114625552 is a gapful number since it is divisible by the number (62) 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 646043114625552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111876243365888).

646043114625552 is an abundant number, since it is smaller than the sum of its proper divisors (1577709372106224).

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

646043114625552 is a wasteful number, since it uses less digits than its factorization.

646043114625552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9071979 (or 9071970 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 646043114625552 in words is "six hundred forty-six trillion, forty-three billion, one hundred fourteen million, six hundred twenty-five thousand, five hundred fifty-two".