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73850089320 = 233257237113149
BaseRepresentation
bin100010011000111001…
…1101110111101101000
321001121201222020112100
41010301303232331220
52202221110324240
653532023413400
75223034254600
oct1046163567550
9231551866470
1073850089320
11293574a5177
12123902b4260
136c6bc9ba07
1438080a5c00
151dc3622e30
hex1131ceef68

73850089320 has 288 divisors, whose sum is σ = 286746993000. Its totient is φ = 16423658496.

The previous prime is 73850089301. The next prime is 73850089337. The reversal of 73850089320 is 2398005837.

73850089320 is a `hidden beast` number, since 7 + 38 + 500 + 8 + 93 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70882672644 + 2967416676 = 266238^2 + 54474^2 .

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 71 ways as a sum of consecutive naturals, for example, 596106 + ... + 709254.

Almost surely, 273850089320 is an apocalyptic number.

73850089320 is a gapful number since it is divisible by the number (70) 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 73850089320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143373496500).

73850089320 is an abundant number, since it is smaller than the sum of its proper divisors (212896903680).

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

73850089320 is a wasteful number, since it uses less digits than its factorization.

73850089320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113217 (or 113203 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 73850089320 in words is "seventy-three billion, eight hundred fifty million, eighty-nine thousand, three hundred twenty".