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5044168196352 = 283217875314713
BaseRepresentation
bin100100101100110111111…
…0110101000000100000000
3122212012212202100222101100
41021121233312220010000
51130120424024240402
614421131530134400
71030300122143655
oct111315766500400
918765782328340
105044168196352
11167524649a17a
12695715881400
132a78808685ac
141361d376bc2c
158b32510471c
hex4966fda8100

5044168196352 has 216 divisors, whose sum is σ = 15401891212344. Its totient is φ = 1582195802112.

The previous prime is 5044168196329. The next prime is 5044168196357. The reversal of 5044168196352 is 2536918614405.

5044168196352 is a `hidden beast` number, since 5 + 0 + 4 + 41 + 68 + 196 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2977198407936 + 2066969788416 = 1725456^2 + 1437696^2 .

It is a super-2 number, since 2×50441681963522 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5044168196357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342830148 + ... + 342844860.

It is an arithmetic number, because the mean of its divisors is an integer number (71305051909).

Almost surely, 25044168196352 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 5044168196352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700945606172).

5044168196352 is an abundant number, since it is smaller than the sum of its proper divisors (10357723015992).

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

5044168196352 is a wasteful number, since it uses less digits than its factorization.

5044168196352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23505 (or 23488 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5044168196352 in words is "five trillion, forty-four billion, one hundred sixty-eight million, one hundred ninety-six thousand, three hundred fifty-two".