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11722199040 = 212335172943
BaseRepresentation
bin10101110101011001…
…01001000000000000
31010020221101102002000
422322230221000000
5143001340332130
65215103224000
7563326022256
oct127254510000
933227342060
1011722199040
114a7596a702
1223318a8000
13114a73a066
147d2b865d6
15489199260
hex2bab29000

11722199040 has 832 divisors, whose sum is σ = 46708358400. Its totient is φ = 2774532096.

The previous prime is 11722198987. The next prime is 11722199053. The reversal of 11722199040 is 4099122711.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11722198986 and 11722199004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272609259 + ... + 272609301.

Almost surely, 211722199040 is an apocalyptic number.

11722199040 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 11722199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23354179200).

11722199040 is an abundant number, since it is smaller than the sum of its proper divisors (34986159360).

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

11722199040 is a wasteful number, since it uses less digits than its factorization.

11722199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11722199040 in words is "eleven billion, seven hundred twenty-two million, one hundred ninety-nine thousand, forty".