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2085488301078 = 23271321912494127
BaseRepresentation
bin11110010110010000110…
…010100001010000010110
321101101000021011111200100
4132112100302201100112
5233132040001113303
64234020551554530
7303446226034320
oct36262062412026
97341007144610
102085488301078
117344a5860786
1229822198ba46
13121878744c00
1472d1c4b8610
15393ad2098a3
hex1e590ca1416

2085488301078 has 288 divisors, whose sum is σ = 5892307200000. Its totient is φ = 520527181824.

The previous prime is 2085488301041. The next prime is 2085488301101. The reversal of 2085488301078 is 8701038845802.

2085488301078 is a `hidden beast` number, since 2 + 0 + 8 + 548 + 83 + 0 + 10 + 7 + 8 = 666.

It is a super-2 number, since 2×20854883010782 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 505325851 + ... + 505329977.

It is an arithmetic number, because the mean of its divisors is an integer number (20459400000).

Almost surely, 22085488301078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085488301078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946153600000).

2085488301078 is an abundant number, since it is smaller than the sum of its proper divisors (3806818898922).

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

2085488301078 is a wasteful number, since it uses less digits than its factorization.

2085488301078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 2085488301078 in words is "two trillion, eighty-five billion, four hundred eighty-eight million, three hundred one thousand, seventy-eight".