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94441680000 = 273354231901
BaseRepresentation
bin101011111110100101…
…0011010110010000000
3100000202210200102122000
41113331022122302000
53021404032230000
6111215204544000
76552232014633
oct1277512326200
9300683612560
1094441680000
1137063959008
12163783b2000
138ba10b96b5
1447dcb85c1a
1526cb29a000
hex15fd29ac80

94441680000 has 640 divisors, whose sum is σ = 363641097600. Its totient is φ = 24076800000.

The previous prime is 94441679989. The next prime is 94441680001. The reversal of 94441680000 is 8614449.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (94441680001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49679050 + ... + 49680950.

It is an arithmetic number, because the mean of its divisors is an integer number (568189215).

Almost surely, 294441680000 is an apocalyptic number.

94441680000 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 94441680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181820548800).

94441680000 is an abundant number, since it is smaller than the sum of its proper divisors (269199417600).

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

94441680000 is a wasteful number, since it uses less digits than its factorization.

94441680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1934 counting only the distinct ones).

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

The spelling of 94441680000 in words is "ninety-four billion, four hundred forty-one million, six hundred eighty thousand".