Search a number
-
+
12843197380416 = 26313172198910529
BaseRepresentation
bin1011101011100100101000…
…1101111011011101000000
31200110210112111201010122110
42322321022031323131000
53140410332012133131
643152030004135320
72463614255335104
oct272711215733500
950423474633573
1012843197380416
114101851110897
121535120997540
13722153c80b90
14325885017904
1517413377b646
hexbae4a37b740

12843197380416 has 672 divisors, whose sum is σ = 41383860336000. Its totient is φ = 3483623227392.

The previous prime is 12843197380373. The next prime is 12843197380463. The reversal of 12843197380416 is 61408379134821.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1219787440 + ... + 1219797968.

It is an arithmetic number, because the mean of its divisors is an integer number (61583125500).

Almost surely, 212843197380416 is an apocalyptic number.

12843197380416 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 12843197380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20691930168000).

12843197380416 is an abundant number, since it is smaller than the sum of its proper divisors (28540662955584).

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

12843197380416 is a wasteful number, since it uses less digits than its factorization.

12843197380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10699 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 12843197380416 in words is "twelve trillion, eight hundred forty-three billion, one hundred ninety-seven million, three hundred eighty thousand, four hundred sixteen".