Search a number
-
+
546869385216 = 211327112231523
BaseRepresentation
bin1111111010100111111…
…01001001100000000000
31221021120021020011201200
413331103331021200000
532424442030311331
61055121152501200
754336635035320
oct7752375114000
91837507204650
10546869385216
111a0a20569300
1289ba154a800
133c7534339cb
141c67bc6b280
15e35a7335e6
hex7f53f49800

546869385216 has 864 divisors, whose sum is σ = 2071739255040. Its totient is φ = 135778959360.

The previous prime is 546869385187. The next prime is 546869385233. The reversal of 546869385216 is 612583968645.

It is a happy number.

546869385216 is a `hidden beast` number, since 5 + 46 + 8 + 69 + 3 + 8 + 521 + 6 = 666.

It is a super-2 number, since 2×5468693852162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 359073031 + ... + 359074553.

It is an arithmetic number, because the mean of its divisors is an integer number (2397846360).

Almost surely, 2546869385216 is an apocalyptic number.

546869385216 is a gapful number since it is divisible by the number (56) 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 546869385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035869627520).

546869385216 is an abundant number, since it is smaller than the sum of its proper divisors (1524869869824).

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

546869385216 is a wasteful number, since it uses less digits than its factorization.

546869385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1569 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 546869385216 in words is "five hundred forty-six billion, eight hundred sixty-nine million, three hundred eighty-five thousand, two hundred sixteen".