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94420085760 = 210325711132389
BaseRepresentation
bin101011111101111100…
…0000010110000000000
3100000201022001022220100
41113323320002300000
53021333020221020
6111213114042400
76551550325650
oct1277370026000
9300638038810
1094420085760
1137052749a30
1216371119400
138b99798740
1447d9d64360
1526c9431a90
hex15fbe02c00

94420085760 has 2112 divisors, whose sum is σ = 463516784640. Its totient is φ = 17128488960.

The previous prime is 94420085723. The next prime is 94420085821. The reversal of 94420085760 is 6758002449.

It is a happy number.

94420085760 is a `hidden beast` number, since 94 + 420 + 0 + 85 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1060899796 + ... + 1060899884.

Almost surely, 294420085760 is an apocalyptic number.

94420085760 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 94420085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231758392320).

94420085760 is an abundant number, since it is smaller than the sum of its proper divisors (369096698880).

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

94420085760 is a wasteful number, since it uses less digits than its factorization.

94420085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 94420085760 in words is "ninety-four billion, four hundred twenty million, eighty-five thousand, seven hundred sixty".