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114829984632 = 233111572770459
BaseRepresentation
bin110101011110001100…
…1101000001101111000
3101222101200212121200210
41222330121220031320
53340132434002012
6124430245031120
711203410523206
oct1527431501570
9358350777623
10114829984632
1144776595050
121a3083b54a0
13aaa006c48c
1457b486a076
152ec116923c
hex1abc668378

114829984632 has 64 divisors (see below), whose sum is σ = 315167529600. Its totient is φ = 34575315840.

The previous prime is 114829984603. The next prime is 114829984651. The reversal of 114829984632 is 236489928411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343782 + ... + 1426677.

It is an arithmetic number, because the mean of its divisors is an integer number (4924492650).

Almost surely, 2114829984632 is an apocalyptic number.

114829984632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114829984632 is an abundant number, since it is smaller than the sum of its proper divisors (200337544968).

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

114829984632 is a wasteful number, since it uses less digits than its factorization.

114829984632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770636 (or 2770632 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The spelling of 114829984632 in words is "one hundred fourteen billion, eight hundred twenty-nine million, nine hundred eighty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 471 628 942 1256 1727 1884 3454 3768 5181 6908 10362 13816 20724 41448 2770459 5540918 8311377 11081836 16622754 22163672 30475049 33245508 60950098 66491016 91425147 121900196 182850294 243800392 365700588 434962063 731401176 869924126 1304886189 1739848252 2609772378 3479696504 4784582693 5219544756 9569165386 10439089512 14353748079 19138330772 28707496158 38276661544 57414992316 114829984632