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5193640449936 = 24321899132
BaseRepresentation
bin100101110010011110100…
…0110000001011110010000
3200101111200201210012021100
41023210331012001132100
51140043033423344221
615013531523224400
71044141152266641
oct113447506013620
920344621705240
105193640449936
1117226796aa664
126ba68b818100
132b89b1999663
1413d532dc36c8
15901726d9926
hex4b93d181790

5193640449936 has 45 divisors (see below), whose sum is σ = 14535056405649. Its totient is φ = 1731204367488.

The previous prime is 5193640449929. The next prime is 5193640449953. The reversal of 5193640449936 is 6399440463915.

The square root of 5193640449936 is 2278956.

It is a perfect power (a square), and thus also a powerful number.

5193640449936 is a `hidden beast` number, since 5 + 193 + 6 + 404 + 4 + 9 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1086305907600 + 4107334542336 = 1042260^2 + 2026656^2 .

It is a super-2 number, since 2×51936404499362 (a number of 26 digits) contains 22 as substring.

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 8 ways as a sum of consecutive naturals, for example, 27252516 + ... + 27442428.

Almost surely, 25193640449936 is an apocalyptic number.

5193640449936 is the 2278956-th square number.

It is an amenable number.

5193640449936 is an abundant number, since it is smaller than the sum of its proper divisors (9341415955713).

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

5193640449936 is an frugal number, since it uses more digits than its factorization.

5193640449936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379840 (or 189918 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 5193640449936 in words is "five trillion, one hundred ninety-three billion, six hundred forty million, four hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 189913 379826 569739 759652 1139478 1519304 1709217 2278956 3038608 3418434 4557912 6836868 9115824 13673736 27347472 36066947569 72133895138 108200842707 144267790276 216401685414 288535580552 324602528121 432803370828 577071161104 649205056242 865606741656 1298410112484 1731213483312 2596820224968 5193640449936