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2878066620000 = 253354111324761
BaseRepresentation
bin101001111000011010001…
…000110111011001100000
3101012010210102002210012000
4221320122020313121200
5334123240023320000
610042055432004000
7414635113425225
oct51703210673140
911163712083160
102878066620000
11a0a643637650
123a5956830600
1317b528c25700
149d428cb794c
154ece9b8a000
hex29e1a237660

2878066620000 has 2880 divisors, whose sum is σ = 12862246763520. Its totient is φ = 620006400000.

The previous prime is 2878066619983. The next prime is 2878066620067. The reversal of 2878066620000 is 266608782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 479 ways as a sum of consecutive naturals, for example, 47181419970 + ... + 47181420030.

It is an arithmetic number, because the mean of its divisors is an integer number (4466057904).

Almost surely, 22878066620000 is an apocalyptic number.

2878066620000 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 2878066620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431123381760).

2878066620000 is an abundant number, since it is smaller than the sum of its proper divisors (9984180143520).

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

2878066620000 is a wasteful number, since it uses less digits than its factorization.

2878066620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2878066620000 in words is "two trillion, eight hundred seventy-eight billion, sixty-six million, six hundred twenty thousand".