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11944018944 = 2103411131953
BaseRepresentation
bin10110001111110101…
…10100010000000000
31010211101210000210000
423013322310100000
5143430132101234
65253105440000
7601661325444
oct130772642000
933741700700
1011944018944
11507a0a6240
122394040000
131184693c40
14814408824
1549d8b3899
hex2c7eb4400

11944018944 has 880 divisors, whose sum is σ = 44940329280. Its totient is φ = 3105423360.

The previous prime is 11944018897. The next prime is 11944018993. The reversal of 11944018944 is 44981044911.

It is a happy number.

11944018944 is a `hidden beast` number, since 119 + 440 + 1 + 8 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11944018944.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 225358822 + ... + 225358874.

It is an arithmetic number, because the mean of its divisors is an integer number (51068556).

Almost surely, 211944018944 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 11944018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470164640).

11944018944 is an abundant number, since it is smaller than the sum of its proper divisors (32996310336).

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

11944018944 is a wasteful number, since it uses less digits than its factorization.

11944018944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

It can be divided in two parts, 119440 and 18944, that added together give a square (138384 = 3722).

The spelling of 11944018944 in words is "eleven billion, nine hundred forty-four million, eighteen thousand, nine hundred forty-four".