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2093874126960 = 24357211236183139
BaseRepresentation
bin11110011110000100100…
…111111010000001110000
321102011122200120121012010
4132132010213322001300
5233301223234030320
64241525033202520
7304164103263300
oct36360447720160
97364580517163
102093874126960
117380093a28a0
12299982260440
131225b3ba5b65
14734b60d7600
15396ee518ae0
hex1e7849fa070

2093874126960 has 1920 divisors, whose sum is σ = 8905110036480. Its totient is φ = 401509785600.

The previous prime is 2093874126907. The next prime is 2093874126973. The reversal of 2093874126960 is 696214783902.

It is a self number, because there is not a number n which added to its sum of digits gives 2093874126960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15063842571 + ... + 15063842709.

It is an arithmetic number, because the mean of its divisors is an integer number (4638078144).

Almost surely, 22093874126960 is an apocalyptic number.

2093874126960 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 2093874126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452555018240).

2093874126960 is an abundant number, since it is smaller than the sum of its proper divisors (6811235909520).

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

2093874126960 is a wasteful number, since it uses less digits than its factorization.

2093874126960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 2093874126960 in words is "two trillion, ninety-three billion, eight hundred seventy-four million, one hundred twenty-six thousand, nine hundred sixty".