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4434206985 = 32513171931757
BaseRepresentation
bin1000010000100110…
…01010000100001001
3102110000202001110100
410020103022010021
533040124110420
62012000240013
7214612065105
oct41023120411
912400661410
104434206985
111975aa337a
12a39010009
1355887bb20
14300ca0905
151ae444190
hex1084ca109

4434206985 has 192 divisors, whose sum is σ = 9535518720. Its totient is φ = 1881169920.

The previous prime is 4434206977. The next prime is 4434207067. The reversal of 4434206985 is 5896024344.

4434206985 is a `hidden beast` number, since 4 + 434 + 206 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 4434206985 - 23 = 4434206977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4434206985.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5857227 + ... + 5857983.

It is an arithmetic number, because the mean of its divisors is an integer number (49664160).

Almost surely, 24434206985 is an apocalyptic number.

4434206985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4434206985 is an abundant number, since it is smaller than the sum of its proper divisors (5101311735).

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

4434206985 is a wasteful number, since it uses less digits than its factorization.

4434206985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4434206985 is about 66589.8414549847. The cubic root of 4434206985 is about 1642.8780250672.

The spelling of 4434206985 in words is "four billion, four hundred thirty-four million, two hundred six thousand, nine hundred eighty-five".