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4984252295040 = 273251946797523
BaseRepresentation
bin100100010000111110010…
…0101100110011110000000
3122122111020010000211100100
41020201330211212132000
51123130222041420130
614333422304322400
71023046263322644
oct110417445463600
918574203024310
104984252295040
11165189a532767
12685b94013400
132a2022675255
1413334c12ac24
15899b9e64c60
hex4887c966780

4984252295040 has 384 divisors, whose sum is σ = 18156082089600. Its totient is φ = 1256470327296.

The previous prime is 4984252295017. The next prime is 4984252295047. The reversal of 4984252295040 is 405922524894.

4984252295040 is a `hidden beast` number, since 4 + 9 + 84 + 2 + 52 + 2 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×49842522950402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4984252295047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51059719 + ... + 51157241.

It is an arithmetic number, because the mean of its divisors is an integer number (47281463775).

Almost surely, 24984252295040 is an apocalyptic number.

4984252295040 is a gapful number since it is divisible by the number (40) 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 4984252295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078041044800).

4984252295040 is an abundant number, since it is smaller than the sum of its proper divisors (13171829794560).

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

4984252295040 is a wasteful number, since it uses less digits than its factorization.

4984252295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98034 (or 98019 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4984252295040 in words is "four trillion, nine hundred eighty-four billion, two hundred fifty-two million, two hundred ninety-five thousand, forty".