Search a number
-
+
2995992853920 = 2532511217259497
BaseRepresentation
bin101011100110001111000…
…101101111110110100000
3101121102011220010011102100
4223212033011233312200
5343041243132311140
610212201244250400
7426311332035333
oct53461705576640
911542156104370
102995992853920
11a55658951600
12404787b40a00
131896a05a8951
14a5014a4261a
1552deca5b530
hex2b98f16fda0

2995992853920 has 648 divisors, whose sum is σ = 11937888985932. Its totient is φ = 683566202880.

The previous prime is 2995992853897. The next prime is 2995992853933. The reversal of 2995992853920 is 293582995992.

2995992853920 is a `hidden beast` number, since 2 + 9 + 9 + 599 + 2 + 8 + 5 + 3 + 9 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2256881253264 + 739111600656 = 1502292^2 + 859716^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 107 ways as a sum of consecutive naturals, for example, 50325612 + ... + 50385108.

Almost surely, 22995992853920 is an apocalyptic number.

2995992853920 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 2995992853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968944492966).

2995992853920 is an abundant number, since it is smaller than the sum of its proper divisors (8941896132012).

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

2995992853920 is a wasteful number, since it uses less digits than its factorization.

2995992853920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59574 (or 59535 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 2995992853920 in words is "two trillion, nine hundred ninety-five billion, nine hundred ninety-two million, eight hundred fifty-three thousand, nine hundred twenty".