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9994682880 = 293357213227
BaseRepresentation
bin10010100111011101…
…01100001000000000
3221210112202111102000
421103232230020000
5130432114323010
64331432424000
7502451255100
oct112356541000
927715674360
109994682880
1142698131a6
121b2b248000
13c33878250
146ab57b200
153d76ac7c0
hex253bac200

9994682880 has 960 divisors, whose sum is σ = 44670890880. Its totient is φ = 2099478528.

The previous prime is 9994682849. The next prime is 9994682911. The reversal of 9994682880 is 882864999.

9994682880 is a `hidden beast` number, since 9 + 99 + 468 + 2 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9994682849) and next prime (9994682911).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 44029327 + ... + 44029553.

It is an arithmetic number, because the mean of its divisors is an integer number (46532178).

Almost surely, 29994682880 is an apocalyptic number.

9994682880 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 9994682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335445440).

9994682880 is an abundant number, since it is smaller than the sum of its proper divisors (34676208000).

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

9994682880 is a wasteful number, since it uses less digits than its factorization.

9994682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The square root of 9994682880 is about 99973.4108650895. The cubic root of 9994682880 is about 2154.0527760752.

The spelling of 9994682880 in words is "nine billion, nine hundred ninety-four million, six hundred eighty-two thousand, eight hundred eighty".