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2046398200704 = 2733112133112143
BaseRepresentation
bin11101110001110110110…
…101100111101110000000
321020122010000020122211000
4131301312311213232000
5232012010414410304
64204034035252000
7300563440463154
oct35616665475600
97218100218730
102046398200704
11719966486800
1229073274a000
1311ac89043cc0
1471090ac3064
1538371557939
hex1dc76d67b80

2046398200704 has 768 divisors, whose sum is σ = 7380598579200. Its totient is φ = 553908326400.

The previous prime is 2046398200687. The next prime is 2046398200711. The reversal of 2046398200704 is 4070028936402.

2046398200704 is a `hidden beast` number, since 2 + 0 + 4 + 639 + 8 + 2 + 0 + 0 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2046398200704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168518857 + ... + 168530999.

It is an arithmetic number, because the mean of its divisors is an integer number (9610154400).

Almost surely, 22046398200704 is an apocalyptic number.

2046398200704 is a gapful number since it is divisible by the number (24) 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 2046398200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690299289600).

2046398200704 is an abundant number, since it is smaller than the sum of its proper divisors (5334200378496).

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

2046398200704 is a wasteful number, since it uses less digits than its factorization.

2046398200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12232 (or 12203 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2046398200704 in words is "two trillion, forty-six billion, three hundred ninety-eight million, two hundred thousand, seven hundred four".