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12543084379440 = 24335192803109037
BaseRepresentation
bin1011011010000110101000…
…0101101011110100110000
31122102002220010011001201000
42312201222011223310300
53121001214100120230
642402114033042000
72433131216041506
oct266415205536460
948362803131630
1012543084379440
113aa654615325a
1214a6b256b6300
136cca66908cb4
14315134c9c676
1516b41b1eab60
hexb686a16bd30

12543084379440 has 320 divisors, whose sum is σ = 45494491737600. Its totient is φ = 3167619664896.

The previous prime is 12543084379439. The next prime is 12543084379489. The reversal of 12543084379440 is 4497348034521.

12543084379440 is a `hidden beast` number, since 1 + 2 + 5 + 430 + 84 + 3 + 7 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114980602 + ... + 115089638.

It is an arithmetic number, because the mean of its divisors is an integer number (142170286680).

Almost surely, 212543084379440 is an apocalyptic number.

12543084379440 is a gapful number since it is divisible by the number (10) 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 12543084379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22747245868800).

12543084379440 is an abundant number, since it is smaller than the sum of its proper divisors (32951407358160).

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

12543084379440 is a wasteful number, since it uses less digits than its factorization.

12543084379440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111881 (or 111869 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 12543084379440 in words is "twelve trillion, five hundred forty-three billion, eighty-four million, three hundred seventy-nine thousand, four hundred forty".