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4945653936 = 243423831999
BaseRepresentation
bin1001001101100100…
…01011000010110000
3110202200010020210000
410212302023002300
540112041411221
62134430310000
7233362236066
oct44662130260
913680106700
104945653936
112108769003
12b60358300
1360a811262
1434cb96036
151de2bde26
hex126c8b0b0

4945653936 has 200 divisors, whose sum is σ = 15124032000. Its totient is φ = 1557097344.

The previous prime is 4945653907. The next prime is 4945653941. The reversal of 4945653936 is 6393565494.

4945653936 is a `hidden beast` number, since 49 + 4 + 565 + 3 + 9 + 36 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2473065 + ... + 2475063.

It is an arithmetic number, because the mean of its divisors is an integer number (75620160).

Almost surely, 24945653936 is an apocalyptic number.

4945653936 is a gapful number since it is divisible by the number (46) 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 4945653936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562016000).

4945653936 is an abundant number, since it is smaller than the sum of its proper divisors (10178378064).

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

4945653936 is a wasteful number, since it uses less digits than its factorization.

4945653936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2110 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 4945653936 is about 70325.3434829863. The cubic root of 4945653936 is about 1703.7579997532.

It can be divided in two parts, 494565 and 3936, that added together give a triangular number (498501 = T998).

The spelling of 4945653936 in words is "four billion, nine hundred forty-five million, six hundred fifty-three thousand, nine hundred thirty-six".