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13924342471680 = 210335671503371
BaseRepresentation
bin1100101010100000001101…
…1111001001110000000000
31211022011011100221022001000
43022220003133021300000
53311114023133043210
645340430555412000
72635000121103204
oct312500337116000
954264140838030
1013924342471680
11448930a355883
12168a76a154000
137a00a168c204
14361d28314b04
1519230dca2ac0
hexcaa037c9c00

13924342471680 has 352 divisors, whose sum is σ = 50223208538880. Its totient is φ = 3657735290880.

The previous prime is 13924342471673. The next prime is 13924342471723. The reversal of 13924342471680 is 8617424342931.

13924342471680 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 434 + 2 + 47 + 168 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8510395 + ... + 10013765.

Almost surely, 213924342471680 is an apocalyptic number.

13924342471680 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 13924342471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25111604269440).

13924342471680 is an abundant number, since it is smaller than the sum of its proper divisors (36298866067200).

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

13924342471680 is a wasteful number, since it uses less digits than its factorization.

13924342471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503472 (or 1503448 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 13924342471680 in words is "thirteen trillion, nine hundred twenty-four billion, three hundred forty-two million, four hundred seventy-one thousand, six hundred eighty".