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114821858816 = 297271118219
BaseRepresentation
bin110101011101111101…
…0101000011000000000
3101222101010120210011122
41222323322220120000
53340123343440231
6124425354531412
711203251460610
oct1527372503000
9358333523148
10114821858816
1144771a44aa5
121a305736b68
13aa9b4859c2
1457b3752a40
152ec05b177b
hex1abbea8600

114821858816 has 80 divisors (see below), whose sum is σ = 263163394560. Its totient is φ = 49027368960.

The previous prime is 114821858807. The next prime is 114821858857. The reversal of 114821858816 is 618858128411.

It is a super-2 number, since 2×1148218588162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 912155 + ... + 1030373.

It is an arithmetic number, because the mean of its divisors is an integer number (3289542432).

Almost surely, 2114821858816 is an apocalyptic number.

114821858816 is a gapful number since it is divisible by the number (16) 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 114821858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131581697280).

114821858816 is an abundant number, since it is smaller than the sum of its proper divisors (148341535744).

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

114821858816 is an equidigital number, since it uses as much as digits as its factorization.

114821858816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118515 (or 118499 counting only the distinct ones).

The product of its digits is 983040, while the sum is 53.

The spelling of 114821858816 in words is "one hundred fourteen billion, eight hundred twenty-one million, eight hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 271 448 512 542 896 1084 1792 1897 2168 3584 3794 4336 7588 8672 15176 17344 30352 34688 60704 69376 118219 121408 138752 236438 242816 472876 485632 827533 945752 971264 1655066 1891504 3310132 3783008 6620264 7566016 13240528 15132032 26481056 30264064 32037349 52962112 60528128 64074698 105924224 128149396 211848448 224261443 256298792 423696896 448522886 512597584 897045772 1025195168 1794091544 2050390336 3588183088 4100780672 7176366176 8201561344 14352732352 16403122688 28705464704 57410929408 114821858816