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2123055074880 = 263551759163167
BaseRepresentation
bin11110111001001111111…
…100011000111001000000
321111221222100200100100000
4132321033330120321000
5234241004044344010
64303152410200000
7306246166245225
oct36711774307100
97457870610300
102123055074880
11749423272983
122a3566a23000
1312528467724c
1474a8385794c
153a35b2a57c0
hex1ee4ff18e40

2123055074880 has 1344 divisors, whose sum is σ = 8253406586880. Its totient is φ = 517482971136.

The previous prime is 2123055074851. The next prime is 2123055074891. The reversal of 2123055074880 is 884705503212.

2123055074880 is a `hidden beast` number, since 2 + 1 + 23 + 0 + 5 + 507 + 48 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12712904557 + ... + 12712904723.

It is an arithmetic number, because the mean of its divisors is an integer number (6140927520).

Almost surely, 22123055074880 is an apocalyptic number.

2123055074880 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 2123055074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126703293440).

2123055074880 is an abundant number, since it is smaller than the sum of its proper divisors (6130351512000).

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

2123055074880 is a wasteful number, since it uses less digits than its factorization.

2123055074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 2123055074880 in words is "two trillion, one hundred twenty-three billion, fifty-five million, seventy-four thousand, eight hundred eighty".