Search a number
-
+
2076924991680 = 263457211473163
BaseRepresentation
bin11110001110010010011…
…000000101100011000000
321100112220110210022120000
4132032102120011203000
5233012020244213210
64230043130320000
7303024065100600
oct36162230054300
97315813708500
102076924991680
11730901015680
12296631b89000
13120b125b1626
1472749098c00
153905b53cac0
hex1e3926058c0

2076924991680 has 1680 divisors, whose sum is σ = 9577985066496. Its totient is φ = 422252974080.

The previous prime is 2076924991651. The next prime is 2076924991681. The reversal of 2076924991680 is 861994296702.

2076924991680 is a `hidden beast` number, since 2 + 0 + 7 + 69 + 2 + 499 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2076924991681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 656629779 + ... + 656632941.

Almost surely, 22076924991680 is an apocalyptic number.

2076924991680 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 2076924991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788992533248).

2076924991680 is an abundant number, since it is smaller than the sum of its proper divisors (7501060074816).

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

2076924991680 is a wasteful number, since it uses less digits than its factorization.

2076924991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 2076924991680 in words is "two trillion, seventy-six billion, nine hundred twenty-four million, nine hundred ninety-one thousand, six hundred eighty".