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13706944188336 = 2433721722240593
BaseRepresentation
bin1100011101110110010110…
…0010100000111110110000
31210112101000111201020121000
43013131211202200332300
53244033310203011321
645052514440002000
72613202566143100
oct307354542407660
953471014636530
1013706944188336
11440509a722913
1216545b7a60300
137857369b9829
143555c36b9200
1518b8381d1826
hexc77658a0fb0

13706944188336 has 360 divisors, whose sum is σ = 48618111463440. Its totient is φ = 3685899313152.

The previous prime is 13706944188293. The next prime is 13706944188349. The reversal of 13706944188336 is 63388144960731.

It is a happy number.

13706944188336 is a `hidden beast` number, since 1 + 37 + 0 + 6 + 94 + 4 + 188 + 336 = 666.

13706944188336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4997256 + ... + 7237848.

Almost surely, 213706944188336 is an apocalyptic number.

13706944188336 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 13706944188336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24309055731720).

13706944188336 is an abundant number, since it is smaller than the sum of its proper divisors (34911167275104).

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

13706944188336 is a wasteful number, since it uses less digits than its factorization.

13706944188336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240658 (or 2240622 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 13706944188336 in words is "thirteen trillion, seven hundred six billion, nine hundred forty-four million, one hundred eighty-eight thousand, three hundred thirty-six".