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2063677904640 = 28325111719127397
BaseRepresentation
bin11110000001111100110…
…010011101011100000000
321022021201021001120101200
4132001330302131130000
5232302403020422030
64220012431301200
7302044601522562
oct36017462353400
97267637046350
102063677904640
11726223417060
12293b5567a800
1311c7b0c7a0a1
1471c4d9b1332
1538a3357ed60
hex1e07cc9d700

2063677904640 has 1728 divisors, whose sum is σ = 8771872112640. Its totient is φ = 441447874560.

The previous prime is 2063677904627. The next prime is 2063677904669. The reversal of 2063677904640 is 464097763602.

2063677904640 is a `hidden beast` number, since 20 + 6 + 3 + 6 + 77 + 90 + 464 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 5198180922 + ... + 5198181318.

It is an arithmetic number, because the mean of its divisors is an integer number (5076314880).

Almost surely, 22063677904640 is an apocalyptic number.

2063677904640 is a gapful number since it is divisible by the number (20) 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 2063677904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385936056320).

2063677904640 is an abundant number, since it is smaller than the sum of its proper divisors (6708194208000).

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

2063677904640 is a wasteful number, since it uses less digits than its factorization.

2063677904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 2063677904640 in words is "two trillion, sixty-three billion, six hundred seventy-seven million, nine hundred four thousand, six hundred forty".