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11209037040 = 24335173143229
BaseRepresentation
bin10100111000001110…
…00101010011110000
31001221011210002011000
422130013011103300
5140424003141130
65052132322000
7544525146165
oct123407052360
931834702130
1011209037040
114832233483
122209a73300
1310983270c6
1478496606c
154590d1260
hex29c1c54f0

11209037040 has 640 divisors, whose sum is σ = 43368652800. Its totient is φ = 2647572480.

The previous prime is 11209037033. The next prime is 11209037041. The reversal of 11209037040 is 4073090211.

It is a super-2 number, since 2×112090370402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11209036995 and 11209037013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11209037041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48947646 + ... + 48947874.

It is an arithmetic number, because the mean of its divisors is an integer number (67763520).

Almost surely, 211209037040 is an apocalyptic number.

11209037040 is a gapful number since it is divisible by the number (10) 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 11209037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684326400).

11209037040 is an abundant number, since it is smaller than the sum of its proper divisors (32159615760).

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

11209037040 is a wasteful number, since it uses less digits than its factorization.

11209037040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 11209037040 in words is "eleven billion, two hundred nine million, thirty-seven thousand, forty".