Search a number
-
+
445871363112 = 2332719421110597
BaseRepresentation
bin1100111110100000000…
…00010001010000101000
31120121212112122001112100
412133100000101100220
524301121032104422
6540455214413400
744133052024350
oct6372000212050
91517775561470
10445871363112
1116210284044a
12724b5501260
1333078c2a456
141781a455b60
15b8e8aa87ac
hex67d0011428

445871363112 has 192 divisors, whose sum is σ = 1456177507200. Its totient is φ = 120399229440.

The previous prime is 445871363087. The next prime is 445871363141. The reversal of 445871363112 is 211363178544.

445871363112 is a `hidden beast` number, since 4 + 4 + 5 + 8 + 7 + 1 + 3 + 631 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3976198 + ... + 4086794.

It is an arithmetic number, because the mean of its divisors is an integer number (7584257850).

Almost surely, 2445871363112 is an apocalyptic number.

445871363112 is a gapful number since it is divisible by the number (42) 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 445871363112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728088753600).

445871363112 is an abundant number, since it is smaller than the sum of its proper divisors (1010306144088).

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

445871363112 is a wasteful number, since it uses less digits than its factorization.

445871363112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111056 (or 111049 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 445871363112 in words is "four hundred forty-five billion, eight hundred seventy-one million, three hundred sixty-three thousand, one hundred twelve".