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19096906954752 = 21137112167211
BaseRepresentation
bin1000101011110010110000…
…10110101111100000000000
32111121122110021120110000000
410111321120112233200000
510000340431140023002
6104340555320000000
74010464104550464
oct425713026574000
974548407513000
1019096906954752
1160a2a53136600
122185137600000
13a86aa4a96353
144a041c16c4a4
15231b4b03661c
hex115e585af800

19096906954752 has 1152 divisors, whose sum is σ = 63624522124800. Its totient is φ = 5725027123200.

The previous prime is 19096906954739. The next prime is 19096906954757. The reversal of 19096906954752 is 25745960969091.

19096906954752 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 6 + 90 + 69 + 5 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19096906954757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90506667927 + ... + 90506668137.

It is an arithmetic number, because the mean of its divisors is an integer number (55229619900).

Almost surely, 219096906954752 is an apocalyptic number.

19096906954752 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 19096906954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31812261062400).

19096906954752 is an abundant number, since it is smaller than the sum of its proper divisors (44527615170048).

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

19096906954752 is an equidigital number, since it uses as much as digits as its factorization.

19096906954752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 19096906954752 in words is "nineteen trillion, ninety-six billion, nine hundred six million, nine hundred fifty-four thousand, seven hundred fifty-two".