Search a number
-
+
544054196160 = 263253131319469
BaseRepresentation
bin1111110101011000010…
…10000011011111000000
31221000022001221202100100
413322230022003133000
532403210333234120
61053533545322400
754210112236126
oct7725412033700
91830261852310
10544054196160
1119a806457082
1289536796400
133c3c5119077
141c492011916
15e2434e8490
hex7eac2837c0

544054196160 has 336 divisors, whose sum is σ = 1937955951360. Its totient is φ = 139945328640.

The previous prime is 544054196149. The next prime is 544054196197. The reversal of 544054196160 is 61691450445.

544054196160 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 541 + 96 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 27934906 + ... + 27954374.

Almost surely, 2544054196160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544054196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968977975680).

544054196160 is an abundant number, since it is smaller than the sum of its proper divisors (1393901755200).

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

544054196160 is a wasteful number, since it uses less digits than its factorization.

544054196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19836 (or 19823 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 544054196160 in words is "five hundred forty-four billion, fifty-four million, one hundred ninety-six thousand, one hundred sixty".