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1978009482240 = 210325114578539
BaseRepresentation
bin11100110010001010100…
…011010111010000000000
321000002120212210210200100
4130302022203113100000
5224401430411412430
64112403543522400
7262622630121261
oct34621243272000
97002525723610
101978009482240
116a2961871370
1227b427459400
131146aa68239c
146ba4409a968
15366bc623960
hex1cc8a8d7400

1978009482240 has 528 divisors, whose sum is σ = 7494057829440. Its totient is φ = 478412144640.

The previous prime is 1978009482209. The next prime is 1978009482247. The reversal of 1978009482240 is 422849008791.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978009482247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231639891 + ... + 231648429.

Almost surely, 21978009482240 is an apocalyptic number.

1978009482240 is a gapful number since it is divisible by the number (10) 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 1978009482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747028914720).

1978009482240 is an abundant number, since it is smaller than the sum of its proper divisors (5516048347200).

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

1978009482240 is a wasteful number, since it uses less digits than its factorization.

1978009482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9038 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1978009482240 in words is "one trillion, nine hundred seventy-eight billion, nine million, four hundred eighty-two thousand, two hundred forty".