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13448494991232 = 273273173736951
BaseRepresentation
bin1100001110110011100011…
…0001000100011110000000
31202121122220201221200222200
43003230320301010132000
53230320004204204412
644334053040433200
72555423146206450
oct303547061043600
952548821850880
1013448494991232
114315524903844
1216124a9918800
1376725930c432
14346ca6aadd60
15184c5d73b9dc
hexc3b38c44780

13448494991232 has 384 divisors, whose sum is σ = 46280113950720. Its totient is φ = 3667534848000.

The previous prime is 13448494991231. The next prime is 13448494991273. The reversal of 13448494991232 is 23219949484431.

13448494991232 is a `hidden beast` number, since 1 + 3 + 4 + 48 + 494 + 99 + 12 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 13448494991232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13448494991231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17880357 + ... + 18617307.

It is an arithmetic number, because the mean of its divisors is an integer number (120521130080).

Almost surely, 213448494991232 is an apocalyptic number.

13448494991232 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 13448494991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23140056975360).

13448494991232 is an abundant number, since it is smaller than the sum of its proper divisors (32831618959488).

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

13448494991232 is a wasteful number, since it uses less digits than its factorization.

13448494991232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737082 (or 737067 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 13448494991232 in words is "thirteen trillion, four hundred forty-eight billion, four hundred ninety-four million, nine hundred ninety-one thousand, two hundred thirty-two".