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4058320334112 = 25321121723928663
BaseRepresentation
bin111011000011100110101…
…111011110110100100000
3112100222020022200122020200
4323003212233132310200
51012442420001142422
612344211105105200
7566126650445532
oct73034657366440
915328208618220
104058320334112
111325140034900
12556643328200
1323590c578885
141005d0ac1852
15708760242ac
hex3b0e6bded20

4058320334112 has 432 divisors, whose sum is σ = 13488264840960. Its totient is φ = 1152570101760.

The previous prime is 4058320334077. The next prime is 4058320334113. The reversal of 4058320334112 is 2114330238504.

4058320334112 is a `hidden beast` number, since 4 + 0 + 583 + 2 + 0 + 33 + 41 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4058320334113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141573093 + ... + 141601755.

It is an arithmetic number, because the mean of its divisors is an integer number (31222835280).

Almost surely, 24058320334112 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 4058320334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744132420480).

4058320334112 is an abundant number, since it is smaller than the sum of its proper divisors (9429944506848).

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

4058320334112 is a wasteful number, since it uses less digits than its factorization.

4058320334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28957 (or 28935 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4058320334112 in words is "four trillion, fifty-eight billion, three hundred twenty million, three hundred thirty-four thousand, one hundred twelve".