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193049689392 = 243371915721401
BaseRepresentation
bin1011001111001010101…
…0000111110100110000
3200110021222001022202000
42303302222013310300
511130331210030032
6224404044454000
716642644166530
oct2636252076460
9613258038660
10193049689392
1174965575a4a
12314b7b4a300
13152873c3151
1494b4dbb4c0
15504d1c2e7c
hex2cf2a87d30

193049689392 has 320 divisors, whose sum is σ = 670892774400. Its totient is φ = 51918796800.

The previous prime is 193049689379. The next prime is 193049689409. The reversal of 193049689392 is 293986940391.

193049689392 is a `hidden beast` number, since 1 + 9 + 30 + 496 + 89 + 39 + 2 = 666.

193049689392 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9009892 + ... + 9031292.

It is an arithmetic number, because the mean of its divisors is an integer number (2096539920).

Almost surely, 2193049689392 is an apocalyptic number.

193049689392 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 193049689392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335446387200).

193049689392 is an abundant number, since it is smaller than the sum of its proper divisors (477843085008).

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

193049689392 is a wasteful number, since it uses less digits than its factorization.

193049689392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21601 (or 21589 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 193049689392 in words is "one hundred ninety-three billion, forty-nine million, six hundred eighty-nine thousand, three hundred ninety-two".