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4983027920640 = 2832572117189127
BaseRepresentation
bin100100010000011001110…
…0110111110111100000000
3122122101001210011011102100
41020200303212332330000
51123120220121430030
614333101005550400
71023004035316200
oct110406346767400
918571053134370
104983027920640
1116513213990a0
126858b1b75400
132a1b88ac8563
14133273694400
1589947712360
hex488339bef00

4983027920640 has 2592 divisors, whose sum is σ = 22612916551680. Its totient is φ = 1001432678400.

The previous prime is 4983027920639. The next prime is 4983027920659. The reversal of 4983027920640 is 460297203894.

4983027920640 is a `hidden beast` number, since 4 + 98 + 302 + 7 + 9 + 206 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 39236440257 + ... + 39236440383.

It is an arithmetic number, because the mean of its divisors is an integer number (8724119040).

Almost surely, 24983027920640 is an apocalyptic number.

4983027920640 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 4983027920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11306458275840).

4983027920640 is an abundant number, since it is smaller than the sum of its proper divisors (17629888631040).

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

4983027920640 is a wasteful number, since it uses less digits than its factorization.

4983027920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4983027920640 in words is "four trillion, nine hundred eighty-three billion, twenty-seven million, nine hundred twenty thousand, six hundred forty".