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193868779104 = 2533721113311033
BaseRepresentation
bin1011010010001101111…
…0101100111001100000
3200112102001022101121000
42310203132230321200
511134020401412404
6225021224432000
720002151301300
oct2644336547140
9615361271530
10193868779104
11752459651a0
12316a6318600
1315387ccb010
149551ab5600
15509a06b339
hex2d237ace60

193868779104 has 1152 divisors, whose sum is σ = 798463733760. Its totient is φ = 44939059200.

The previous prime is 193868779099. The next prime is 193868779123. The reversal of 193868779104 is 401977868391.

193868779104 is a `hidden beast` number, since 1 + 9 + 386 + 87 + 79 + 104 = 666.

193868779104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1938687791042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 187674972 + ... + 187676004.

It is an arithmetic number, because the mean of its divisors is an integer number (693110880).

Almost surely, 2193868779104 is an apocalyptic number.

193868779104 is a gapful number since it is divisible by the number (14) 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 193868779104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399231866880).

193868779104 is an abundant number, since it is smaller than the sum of its proper divisors (604594954656).

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

193868779104 is a wasteful number, since it uses less digits than its factorization.

193868779104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 193868779104 in words is "one hundred ninety-three billion, eight hundred sixty-eight million, seven hundred seventy-nine thousand, one hundred four".