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94428584352 = 2534234767503
BaseRepresentation
bin101011111110001100…
…0011101100110100000
3100000201220001002210000
41113330120131212200
53021342204144402
6111214020140000
76552012503124
oct1277430354640
9300656032700
1094428584352
1137057524063
1216373b37600
138b9b482aab
1447db137584
1526ca05ec1c
hex15fc61d9a0

94428584352 has 480 divisors, whose sum is σ = 300966285312. Its totient is φ = 28969560576.

The previous prime is 94428584347. The next prime is 94428584401. The reversal of 94428584352 is 25348582449.

94428584352 is a `hidden beast` number, since 9 + 4 + 4 + 2 + 8 + 584 + 3 + 52 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187730533 + ... + 187731035.

Almost surely, 294428584352 is an apocalyptic number.

94428584352 is a gapful number since it is divisible by the number (92) 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 94428584352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150483142656).

94428584352 is an abundant number, since it is smaller than the sum of its proper divisors (206537700960).

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

94428584352 is a wasteful number, since it uses less digits than its factorization.

94428584352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 645 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 94428584352 in words is "ninety-four billion, four hundred twenty-eight million, five hundred eighty-four thousand, three hundred fifty-two".