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86442448650208 = 257433241890737
BaseRepresentation
bin10011101001111001110011…
…011100011111111111100000
3102100001211001212120210121221
4103221321303130133333200
542312233113323301313
6503503040201424424
724131155314113320
oct2351716334377740
9370054055523557
1086442448650208
11255a8044793092
12984116119b114
133930645ca3441
14174bba03d9280
159ed876c37c8d
hex4e9e7371ffe0

86442448650208 has 48 divisors (see below), whose sum is σ = 194496176748384. Its totient is φ = 37046636605440.

The previous prime is 86442448650109. The next prime is 86442448650209. The reversal of 86442448650208 is 80205684424468.

It is a super-2 number, since 2×864424486502082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86442448650209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96600616 + ... + 97491352.

It is an arithmetic number, because the mean of its divisors is an integer number (4052003682258).

Almost surely, 286442448650208 is an apocalyptic number.

It is an amenable number.

86442448650208 is an abundant number, since it is smaller than the sum of its proper divisors (108053728098176).

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

86442448650208 is a wasteful number, since it uses less digits than its factorization.

86442448650208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323995 (or 1323987 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 61.

The spelling of 86442448650208 in words is "eighty-six trillion, four hundred forty-two billion, four hundred forty-eight million, six hundred fifty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 433241 866482 890737 1732964 1781474 3032687 3465928 3562948 6065374 6235159 6931856 7125896 12130748 12470318 13863712 14251792 24261496 24940636 28503584 48522992 49881272 97045984 99762544 199525088 385903788617 771807577234 1543615154468 2701326520319 3087230308936 5402653040638 6174460617872 10805306081276 12348921235744 21610612162552 43221224325104 86442448650208