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11621443680 = 2533573112331
BaseRepresentation
bin10101101001011000…
…10010100001100000
31002222220210111201000
422310230102201200
5142300042144210
65201103512000
7560663433000
oct126454224140
932886714630
1011621443680
114a24002710
122303bb8600
1311328c07c2
147c363a000
154803e5ac0
hex2b4b12860

11621443680 has 1536 divisors, whose sum is σ = 55738368000. Its totient is φ = 2235340800.

The previous prime is 11621443667. The next prime is 11621443681. The reversal of 11621443680 is 8634412611.

11621443680 is a `hidden beast` number, since 1 + 1 + 6 + 214 + 436 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11621443681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 374885265 + ... + 374885295.

It is an arithmetic number, because the mean of its divisors is an integer number (36288000).

Almost surely, 211621443680 is an apocalyptic number.

11621443680 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 11621443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184000).

11621443680 is an abundant number, since it is smaller than the sum of its proper divisors (44116924320).

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

11621443680 is a wasteful number, since it uses less digits than its factorization.

11621443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11621443680 in words is "eleven billion, six hundred twenty-one million, four hundred forty-three thousand, six hundred eighty".