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13347731624472 = 2333715185968059
BaseRepresentation
bin1100001000111100001011…
…0011010101001000011000
31202021000211100220022102000
43002033002303111020120
53222142123243440342
644215510244041000
72545225142551050
oct302170263251030
952230740808360
1013347731624472
114286817588a23
1215b6a68393160
1375a8bb6050ab
143420684dc560
151823124b444c
hexc23c2cd5218

13347731624472 has 256 divisors, whose sum is σ = 42704655360000. Its totient is φ = 3783915907200.

The previous prime is 13347731624417. The next prime is 13347731624587. The reversal of 13347731624472 is 27442613774331.

13347731624472 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 7 + 7 + 3 + 1 + 624 + 4 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 196085979 + ... + 196154037.

It is an arithmetic number, because the mean of its divisors is an integer number (166815060000).

Almost surely, 213347731624472 is an apocalyptic number.

13347731624472 is a gapful number since it is divisible by the number (12) 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 13347731624472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21352327680000).

13347731624472 is an abundant number, since it is smaller than the sum of its proper divisors (29356923735528).

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

13347731624472 is a wasteful number, since it uses less digits than its factorization.

13347731624472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69091 (or 69081 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 54.

The spelling of 13347731624472 in words is "thirteen trillion, three hundred forty-seven billion, seven hundred thirty-one million, six hundred twenty-four thousand, four hundred seventy-two".