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11994643440 = 24325137118049
BaseRepresentation
bin10110010101110111…
…11011101111110000
31010221221001000112100
423022323323233300
5144031112042230
65302114500400
7603144533643
oct131273735760
933857030470
1011994643440
1150a573316a
1223a8b94700
13119200a670
1481b025a5a
154a3063660
hex2caefbbf0

11994643440 has 240 divisors, whose sum is σ = 43994059200. Its totient is φ = 2910781440.

The previous prime is 11994643373. The next prime is 11994643457. The reversal of 11994643440 is 4434649911.

11994643440 is a `hidden beast` number, since 119 + 9 + 464 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655536 + ... + 673584.

It is an arithmetic number, because the mean of its divisors is an integer number (183308580).

Almost surely, 211994643440 is an apocalyptic number.

11994643440 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 11994643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21997029600).

11994643440 is an abundant number, since it is smaller than the sum of its proper divisors (31999415760).

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

11994643440 is a wasteful number, since it uses less digits than its factorization.

11994643440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18152 (or 18143 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 11994643440 in words is "eleven billion, nine hundred ninety-four million, six hundred forty-three thousand, four hundred forty".