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2378340798912 = 263313177385313
BaseRepresentation
bin100010100111000000001…
…010001001000111000000
322102100220122210210201000
4202213000022021013000
5302431320221031122
65020332241212000
7333554334143151
oct42470012110700
98370818723630
102378340798912
118377154178a1
12324b31631000
131433798348a0
1483180265928
1541ced1650ac
hex229c02891c0

2378340798912 has 448 divisors, whose sum is σ = 8081952197760. Its totient is φ = 679307378688.

The previous prime is 2378340798877. The next prime is 2378340798959. The reversal of 2378340798912 is 2198970438732.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2378340798912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27835168 + ... + 27920480.

It is an arithmetic number, because the mean of its divisors is an integer number (18040071870).

Almost surely, 22378340798912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2378340798912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040976098880).

2378340798912 is an abundant number, since it is smaller than the sum of its proper divisors (5703611398848).

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

2378340798912 is a wasteful number, since it uses less digits than its factorization.

2378340798912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85437 (or 85421 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2378340798912 in words is "two trillion, three hundred seventy-eight billion, three hundred forty million, seven hundred ninety-eight thousand, nine hundred twelve".