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9927463680 = 2836510639
BaseRepresentation
bin10010011111011100…
…10001001100000000
3221121212021102000000
421033232101030000
5130312412314210
64321032000000
7501004022541
oct111756211400
927555242000
109927463680
114234881442
121b10830000
13c22971384
146a26804c8
153d1830ac0
hex24fb91300

9927463680 has 252 divisors, whose sum is σ = 35656108320. Its totient is φ = 2647074816.

The previous prime is 9927463661. The next prime is 9927463687. The reversal of 9927463680 is 863647299.

It is a happy number.

9927463680 is a `hidden beast` number, since 9 + 9 + 274 + 6 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9927463687) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 927801 + ... + 938439.

Almost surely, 29927463680 is an apocalyptic number.

9927463680 is a gapful number since it is divisible by the number (90) 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 9927463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17828054160).

9927463680 is an abundant number, since it is smaller than the sum of its proper divisors (25728644640).

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

9927463680 is an equidigital number, since it uses as much as digits as its factorization.

9927463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10678 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 9927463680 is about 99636.6583140964. The cubic root of 9927463680 is about 2149.2128851193.

The spelling of 9927463680 in words is "nine billion, nine hundred twenty-seven million, four hundred sixty-three thousand, six hundred eighty".