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19946527339464 = 2335112471804213
BaseRepresentation
bin1001000100100001010011…
…01011010011001111001000
32121121212110210012220100000
410202100221223103033020
510103300441444330324
6110231150321243000
74126042353634245
oct442205153231710
977555423186300
1019946527339464
1163a0302750800
1222a192b793460
13b18c45c5a6bb
144cd5ba6485cc
15248cc56d49c9
hex122429ad33c8

19946527339464 has 288 divisors, whose sum is σ = 62888837880960. Its totient is φ = 5915794642560.

The previous prime is 19946527339393. The next prime is 19946527339469. The reversal of 19946527339464 is 46493372564991.

19946527339464 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 6 + 527 + 3 + 3 + 94 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 19946527339392 and 19946527339401.

It is not an unprimeable number, because it can be changed into a prime (19946527339469) 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 71 ways as a sum of consecutive naturals, for example, 10153422 + ... + 11957634.

It is an arithmetic number, because the mean of its divisors is an integer number (218364020420).

Almost surely, 219946527339464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19946527339464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31444418940480).

19946527339464 is an abundant number, since it is smaller than the sum of its proper divisors (42942310541496).

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

19946527339464 is a wasteful number, since it uses less digits than its factorization.

19946527339464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804303 (or 1804276 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 19946527339464 in words is "nineteen trillion, nine hundred forty-six billion, five hundred twenty-seven million, three hundred thirty-nine thousand, four hundred sixty-four".