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2145047647680 = 263257491216703
BaseRepresentation
bin11111001101101110110…
…011011001010111000000
321121001202001120210121100
4133031232303121113000
5240121024144211210
64321230555254400
7310655165111250
oct37155663312700
97531661523540
102145047647680
11757789526383
122a788414a400
1312737aac8732
1475b6c623960
153abe6e185c0
hex1f36ecd95c0

2145047647680 has 336 divisors, whose sum is σ = 8449292427264. Its totient is φ = 489295779840.

The previous prime is 2145047647661. The next prime is 2145047647697. The reversal of 2145047647680 is 867467405412.

2145047647680 is a `hidden beast` number, since 2 + 1 + 4 + 50 + 47 + 6 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 9790209 + ... + 10006911.

Almost surely, 22145047647680 is an apocalyptic number.

2145047647680 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 2145047647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224646213632).

2145047647680 is an abundant number, since it is smaller than the sum of its proper divisors (6304244779584).

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

2145047647680 is a wasteful number, since it uses less digits than its factorization.

2145047647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217224 (or 217211 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 2145047647680 in words is "two trillion, one hundred forty-five billion, forty-seven million, six hundred forty-seven thousand, six hundred eighty".