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93730494312 = 233271383172357
BaseRepresentation
bin101011101001011000…
…1011101011101101000
322221221020110110021100
41113102301131131220
53013430001304222
6111020441441400
76525505025160
oct1272261353550
9287836413240
1093730494312
1136829469744
12161ba1a0260
138ab9961b70
1447725395a0
152688b184ac
hex15d2c5d768

93730494312 has 192 divisors, whose sum is σ = 316201092480. Its totient is φ = 24422155776.

The previous prime is 93730494301. The next prime is 93730494353. The reversal of 93730494312 is 21349403739.

93730494312 is a `hidden beast` number, since 93 + 73 + 0 + 494 + 3 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457638 + ... + 629994.

It is an arithmetic number, because the mean of its divisors is an integer number (1646880690).

Almost surely, 293730494312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93730494312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158100546240).

93730494312 is an abundant number, since it is smaller than the sum of its proper divisors (222470598168).

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

93730494312 is a wasteful number, since it uses less digits than its factorization.

93730494312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172472 (or 172465 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 93730494312 in words is "ninety-three billion, seven hundred thirty million, four hundred ninety-four thousand, three hundred twelve".