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2411690112 = 27341329617
BaseRepresentation
bin1000111110111111…
…0111100010000000
320020002000112220000
42033233313202000
514414343040422
61035150520000
7113523012336
oct21757674200
96202015800
102411690112
111028377527
12573806000
132c584c890
1418c423b56
15e1ad4cac
hex8fbf7880

2411690112 has 320 divisors, whose sum is σ = 8008723800. Its totient is φ = 715309056.

The previous prime is 2411690089. The next prime is 2411690137. The reversal of 2411690112 is 2110961142.

It can be written as a sum of positive squares in 4 ways, for example, as 971942976 + 1439747136 = 31176^2 + 37944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3908428 + ... + 3909044.

Almost surely, 22411690112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2411690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004361900).

2411690112 is an abundant number, since it is smaller than the sum of its proper divisors (5597033688).

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

2411690112 is a wasteful number, since it uses less digits than its factorization.

2411690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2411690112 is about 49108.9616261635. The cubic root of 2411690112 is about 1341.0361985934.

The spelling of 2411690112 in words is "two billion, four hundred eleven million, six hundred ninety thousand, one hundred twelve".