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19391139494496 = 25337211192191529
BaseRepresentation
bin1000110100010110110011…
…11110110011101001100000
32112122202220212000010122000
410122023121332303221200
510020201023202310441
6105124055544244000
74040651341066200
oct432133176635140
975582825003560
1019391139494496
1161a681079a620
122212171470600
13aa8765a67483
144b0771314400
1523961c1e32b6
hex11a2d9fb3a60

19391139494496 has 576 divisors, whose sum is σ = 75549928608000. Its totient is φ = 4771570083840.

The previous prime is 19391139494479. The next prime is 19391139494509. The reversal of 19391139494496 is 69449493119391.

19391139494496 is a `hidden beast` number, since 1 + 9 + 3 + 9 + 1 + 139 + 49 + 449 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7752460 + ... + 9943988.

It is an arithmetic number, because the mean of its divisors is an integer number (131163070500).

Almost surely, 219391139494496 is an apocalyptic number.

19391139494496 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 19391139494496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37774964304000).

19391139494496 is an abundant number, since it is smaller than the sum of its proper divisors (56158789113504).

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

19391139494496 is a wasteful number, since it uses less digits than its factorization.

19391139494496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191592 (or 2191571 counting only the distinct ones).

The product of its digits is 204073344, while the sum is 72.

The spelling of 19391139494496 in words is "nineteen trillion, three hundred ninety-one billion, one hundred thirty-nine million, four hundred ninety-four thousand, four hundred ninety-six".