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84115244251148 = 221143918911230273
BaseRepresentation
bin10011001000000010011011…
…010000001111100000001100
3102000211100010222221021002012
4103020002123100033200030
542011121010012014043
6454522002034520352
723501061111111035
oct2310023320174014
9360740128837065
1084115244251148
1124890090555380
1295261211360b8
1337c2058795226
1416ab2b1799a8c
159ad06d0dda18
hex4c809b40f80c

84115244251148 has 48 divisors (see below), whose sum is σ = 160958652180480. Its totient is φ = 38144925235200.

The previous prime is 84115244251097. The next prime is 84115244251219.

84115244251148 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84115244251096 and 84115244251105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365169740 + ... + 365400012.

It is an arithmetic number, because the mean of its divisors is an integer number (3353305253760).

Almost surely, 284115244251148 is an apocalyptic number.

It is an amenable number.

84115244251148 is a deficient number, since it is larger than the sum of its proper divisors (76843407929332).

84115244251148 is a wasteful number, since it uses less digits than its factorization.

84115244251148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249638 (or 249636 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 50.

The spelling of 84115244251148 in words is "eighty-four trillion, one hundred fifteen billion, two hundred forty-four million, two hundred fifty-one thousand, one hundred forty-eight".

Divisors: 1 2 4 11 22 44 439 878 1756 4829 9658 18911 19316 37822 75644 208021 230273 416042 460546 832084 921092 2533003 5066006 8301929 10132012 16603858 33207716 91321219 101089847 182642438 202179694 365284876 404359388 1111988317 2223976634 4354692703 4447953268 8709385406 17418770812 47901619733 95803239466 191606478932 1911710096617 3823420193234 7646840386468 21028811062787 42057622125574 84115244251148