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93124832032 = 2517509336317
BaseRepresentation
bin101011010111010101…
…1000010101100100000
322220101000210121211001
41112232223002230200
53011204424111112
6110440404201344
76504502004011
oct1265653025440
9286330717731
1093124832032
11365485a3701
121606b399254
138a21332c0b
144715d1b008
15265087cc57
hex15aeac2b20

93124832032 has 48 divisors (see below), whose sum is σ = 194506152120. Its totient is φ = 43737223168.

The previous prime is 93124831999. The next prime is 93124832033. The reversal of 93124832032 is 23023842139.

It can be written as a sum of positive squares in 4 ways, for example, as 92778723216 + 346108816 = 304596^2 + 18604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 93124831982 and 93124832000.

It is not an unprimeable number, because it can be changed into a prime (93124832033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108738 + ... + 445054.

Almost surely, 293124832032 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 93124832032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97253076060).

93124832032 is an abundant number, since it is smaller than the sum of its proper divisors (101381320088).

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

93124832032 is a wasteful number, since it uses less digits than its factorization.

93124832032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336853 (or 336845 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 93124832032 in words is "ninety-three billion, one hundred twenty-four million, eight hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 509 544 1018 2036 4072 8144 8653 16288 17306 34612 69224 138448 276896 336317 672634 1345268 2690536 5381072 5717389 10762144 11434778 22869556 45739112 91478224 171185353 182956448 342370706 684741412 1369482824 2738965648 2910151001 5477931296 5820302002 11640604004 23281208008 46562416016 93124832032