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2114235885762 = 2347211133771709
BaseRepresentation
bin11110110001000010010…
…001110110100011000010
321111010012201211010020000
4132301002101312203002
5234114423341321022
64255133324300430
7305514510340500
oct36610221664302
97433181733200
102114235885762
11745708048630
122a19053a1716
131244aa4c2c50
147448846b670
1539ee1de26ac
hex1ec424768c2

2114235885762 has 960 divisors, whose sum is σ = 6752509505280. Its totient is φ = 485576985600.

The previous prime is 2114235885743. The next prime is 2114235885767. The reversal of 2114235885762 is 2675885324112.

It is a happy number.

2114235885762 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 2 + 3 + 588 + 57 + 6 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2114235885699 and 2114235885708.

It is not an unprimeable number, because it can be changed into a prime (2114235885767) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2981996664 + ... + 2981997372.

It is an arithmetic number, because the mean of its divisors is an integer number (7033864068).

Almost surely, 22114235885762 is an apocalyptic number.

2114235885762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114235885762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376254752640).

2114235885762 is an abundant number, since it is smaller than the sum of its proper divisors (4638273619518).

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

2114235885762 is a wasteful number, since it uses less digits than its factorization.

2114235885762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 853 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 2114235885762 in words is "two trillion, one hundred fourteen billion, two hundred thirty-five million, eight hundred eighty-five thousand, seven hundred sixty-two".