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4285257799680 = 211355111312043
BaseRepresentation
bin111110010110111101010…
…001001101100000000000
3120011122222222120100200000
4332112331101031200000
51030202201444042210
613040341550400000
7621412453204554
oct76267521154000
916148888510600
104285257799680
111402405347640
12592618200000
13251137621b90
1410b59c5a7864
15767092c9ac0
hex3e5bd44d800

4285257799680 has 1152 divisors, whose sum is σ = 18096165884160. Its totient is φ = 958859182080.

The previous prime is 4285257799637. The next prime is 4285257799733. The reversal of 4285257799680 is 869977525824.

4285257799680 is a `hidden beast` number, since 4 + 2 + 8 + 525 + 7 + 7 + 9 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4285257799599 and 4285257799608.

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 95 ways as a sum of consecutive naturals, for example, 355823739 + ... + 355835781.

It is an arithmetic number, because the mean of its divisors is an integer number (15708477330).

Almost surely, 24285257799680 is an apocalyptic number.

4285257799680 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 4285257799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048082942080).

4285257799680 is an abundant number, since it is smaller than the sum of its proper divisors (13810908084480).

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

4285257799680 is a wasteful number, since it uses less digits than its factorization.

4285257799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12109 (or 12077 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 4285257799680 in words is "four trillion, two hundred eighty-five billion, two hundred fifty-seven million, seven hundred ninety-nine thousand, six hundred eighty".