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11973684207744 = 273572918110477
BaseRepresentation
bin1010111000111101011100…
…1100011010000010000000
31120101200011122021100100000
42232033113030122002000
53032134101124121434
641244345023200000
72344033025325060
oct256172714320200
946350148240300
1011973684207744
1138a7013644666
1214146b6746000
1368b1626ac28c
142d575a9a33a0
1515b6e298db99
hexae3d731a080

11973684207744 has 768 divisors, whose sum is σ = 42481768492800. Its totient is φ = 3284522680320.

The previous prime is 11973684207733. The next prime is 11973684207769. The reversal of 11973684207744 is 44770248637911.

It is a happy number.

11973684207744 is a `hidden beast` number, since 1 + 19 + 73 + 68 + 420 + 7 + 74 + 4 = 666.

It is a super-2 number, since 2×119736842077442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 1142849034 + ... + 1142859510.

It is an arithmetic number, because the mean of its divisors is an integer number (55314802725).

Almost surely, 211973684207744 is an apocalyptic number.

11973684207744 is a gapful number since it is divisible by the number (14) 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 11973684207744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240884246400).

11973684207744 is an abundant number, since it is smaller than the sum of its proper divisors (30508084285056).

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

11973684207744 is a wasteful number, since it uses less digits than its factorization.

11973684207744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 11973684207744 in words is "eleven trillion, nine hundred seventy-three billion, six hundred eighty-four million, two hundred seven thousand, seven hundred forty-four".