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94076248320 = 2832517480373
BaseRepresentation
bin101011110011101100…
…0011010000100000000
322222211100001120121100
41113213120122010000
53020132004421240
6111115032254400
76540203626305
oct1274730320400
9288740046540
1094076248320
113699665385a
1216295b41400
138b4348c532
1447a641d0ac
1526a9163e30
hex15e761a100

94076248320 has 216 divisors, whose sum is σ = 344641444056. Its totient is φ = 23611244544.

The previous prime is 94076248313. The next prime is 94076248369. The reversal of 94076248320 is 2384267049.

94076248320 is a `hidden beast` number, since 94 + 0 + 7 + 62 + 483 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27090526464 + 66985721856 = 164592^2 + 258816^2 .

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 23 ways as a sum of consecutive naturals, for example, 44347 + ... + 436026.

It is an arithmetic number, because the mean of its divisors is an integer number (1595562241).

Almost surely, 294076248320 is an apocalyptic number.

94076248320 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 94076248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172320722028).

94076248320 is an abundant number, since it is smaller than the sum of its proper divisors (250565195736).

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

94076248320 is a wasteful number, since it uses less digits than its factorization.

94076248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480417 (or 480400 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 94076248320 in words is "ninety-four billion, seventy-six million, two hundred forty-eight thousand, three hundred twenty".