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8681094451120 = 2457213331351419
BaseRepresentation
bin111111001010011100110…
…0011010000111110110000
31010201220102101202102001011
41332110321203100332300
52114212340134413440
630244012325520304
71554121420221400
oct176247143207660
933656371672034
108681094451120
1128476a4558173
12b82554b73094
134ac815343590
1422024ab94800
15100c363dd9ea
hex7e5398d0fb0

8681094451120 has 240 divisors, whose sum is σ = 25293003956640. Its totient is φ = 2746540597248.

The previous prime is 8681094451111. The next prime is 8681094451153. The reversal of 8681094451120 is 211544901868.

It is a super-2 number, since 2×86810944511202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168804771 + ... + 168856189.

It is an arithmetic number, because the mean of its divisors is an integer number (105387516486).

Almost surely, 28681094451120 is an apocalyptic number.

8681094451120 is a gapful number since it is divisible by the number (80) 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 8681094451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646501978320).

8681094451120 is an abundant number, since it is smaller than the sum of its proper divisors (16611909505520).

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

8681094451120 is a wasteful number, since it uses less digits than its factorization.

8681094451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54772 (or 54759 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 8681094451120 in words is "eight trillion, six hundred eighty-one billion, ninety-four million, four hundred fifty-one thousand, one hundred twenty".