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2127063667680 = 25345746795011
BaseRepresentation
bin11110111100111110110…
…111111101001111100000
321112100022201112221220000
4132330332313331033200
5234322211244331210
64305054244220000
7306450422600550
oct36747667751740
97470281487800
102127063667680
1175009aa95a96
122a42a539a600
13125772cb6b53
1474d43da7160
153a4e3176ac0
hex1ef3edfd3e0

2127063667680 has 480 divisors, whose sum is σ = 8582702768640. Its totient is φ = 485985070080.

The previous prime is 2127063667679. The next prime is 2127063667681. The reversal of 2127063667680 is 867663607212.

2127063667680 is a `hidden beast` number, since 2 + 1 + 270 + 6 + 366 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2127063667679) and next prime (2127063667681).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127063667681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 424476375 + ... + 424481385.

It is an arithmetic number, because the mean of its divisors is an integer number (17880630768).

Almost surely, 22127063667680 is an apocalyptic number.

2127063667680 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 2127063667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291351384320).

2127063667680 is an abundant number, since it is smaller than the sum of its proper divisors (6455639100960).

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

2127063667680 is a wasteful number, since it uses less digits than its factorization.

2127063667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2127063667680 in words is "two trillion, one hundred twenty-seven billion, sixty-three million, six hundred sixty-seven thousand, six hundred eighty".