Search a number
-
+
544196531742120 = 233452920359284483
BaseRepresentation
bin111101110111100011010000…
…0111101100110010110101000
32122100211200100222100021210000
41323233012200331212112220
51032312103444111221440
65205224234013223000
7222424621240334535
oct17357064075462650
92570750328307700
10544196531742120
111484414a8aa3184
1251050b25491a60
131a48668867163a
14985537749bd8c
1542dac0230c730
hex1eef1a0f665a8

544196531742120 has 320 divisors, whose sum is σ = 1892277188208000. Its totient is φ = 140107594378752.

The previous prime is 544196531742107. The next prime is 544196531742137. The reversal of 544196531742120 is 21247135691445.

544196531742120 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 96 + 531 + 7 + 4 + 2 + 12 + 0 = 666.

It is a super-2 number, since 2×5441965317421202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1912789399 + ... + 1913073881.

It is an arithmetic number, because the mean of its divisors is an integer number (5913366213150).

Almost surely, 2544196531742120 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 544196531742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946138594104000).

544196531742120 is an abundant number, since it is smaller than the sum of its proper divisors (1348080656465880).

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

544196531742120 is a wasteful number, since it uses less digits than its factorization.

544196531742120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304894 (or 304881 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 544196531742120 in words is "five hundred forty-four trillion, one hundred ninety-six billion, five hundred thirty-one million, seven hundred forty-two thousand, one hundred twenty".