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194235123264 = 26371328310303
BaseRepresentation
bin1011010011100101010…
…0001100011001000000
3200120100120122121022020
42310321110030121000
511140243142421024
6225121432441440
720014220210130
oct2647124143100
9616316577266
10194235123264
1175413732a66
1231788b49280
1315415b87600
1495885d8ac0
1550bc2d2979
hex2d3950c640

194235123264 has 336 divisors, whose sum is σ = 643709509632. Its totient is φ = 50604742656.

The previous prime is 194235123223. The next prime is 194235123293. The reversal of 194235123264 is 462321532491.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18847137 + ... + 18857439.

It is an arithmetic number, because the mean of its divisors is an integer number (1915802112).

Almost surely, 2194235123264 is an apocalyptic number.

194235123264 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 194235123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321854754816).

194235123264 is an abundant number, since it is smaller than the sum of its proper divisors (449474386368).

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

194235123264 is a wasteful number, since it uses less digits than its factorization.

194235123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434 (or 10411 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 194235123264 in words is "one hundred ninety-four billion, two hundred thirty-five million, one hundred twenty-three thousand, two hundred sixty-four".