Search a number
-
+
445269837321036 = 22327213191601638317
BaseRepresentation
bin110010100111110000111011…
…0011110111001001101001100
32011101120101021112211102122200
41211033201312132321031030
5431330300111323233121
64215002050034041500
7162534453442110300
oct14517416636711514
92141511245742580
10445269837321036
11119970972009372
1241b3433b719290
131615b9c4a25330
147bd5264737d00
153672754bbaa26
hex194f8767b934c

445269837321036 has 432 divisors, whose sum is σ = 1485162183828960. Its totient is φ = 111183412838400.

The previous prime is 445269837320999. The next prime is 445269837321061. The reversal of 445269837321036 is 630123738962544.

445269837321036 is a `hidden beast` number, since 4 + 4 + 526 + 9 + 8 + 3 + 73 + 2 + 1 + 0 + 36 = 666.

It is a super-2 number, since 2×4452698373210362 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 697249350 + ... + 697887666.

It is an arithmetic number, because the mean of its divisors is an integer number (3437875425530).

It is a 1-persistent number, because it is pandigital, but 2⋅445269837321036 = 890539674642072 is not.

Almost surely, 2445269837321036 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 445269837321036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742581091914480).

445269837321036 is an abundant number, since it is smaller than the sum of its proper divisors (1039892346507924).

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

445269837321036 is a wasteful number, since it uses less digits than its factorization.

445269837321036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639974 (or 639962 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 445269837321036 in words is "four hundred forty-five trillion, two hundred sixty-nine billion, eight hundred thirty-seven million, three hundred twenty-one thousand, thirty-six".