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196608516405840 = 243557211311913169
BaseRepresentation
bin101100101101000001111100…
…110001111011101001010000
3221210010120221112220122200000
4230231001330301323221100
5201232213220144441330
61534052412221530000
756261332214363100
oct5455017461735120
9853116845818600
10196608516405840
1157711226a35010
121a07406a413900
138592146641356
143679c8da59200
1517ae38a956560
hexb2d07cc7ba50

196608516405840 has 2880 divisors, whose sum is σ = 901946751713280. Its totient is φ = 39316451328000.

The previous prime is 196608516405793. The next prime is 196608516405853. The reversal of 196608516405840 is 48504615806691.

196608516405840 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 0 + 8 + 5 + 1 + 6 + 40 + 584 + 0 = 666.

196608516405840 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 2×1966085164058402 (a number of 29 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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 62041183776 + ... + 62041186944.

It is an arithmetic number, because the mean of its divisors is an integer number (313175955456).

Almost surely, 2196608516405840 is an apocalyptic number.

196608516405840 is a gapful number since it is divisible by the number (10) 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 196608516405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450973375856640).

196608516405840 is an abundant number, since it is smaller than the sum of its proper divisors (705338235307440).

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

196608516405840 is a wasteful number, since it uses less digits than its factorization.

196608516405840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 196608516405840 in words is "one hundred ninety-six trillion, six hundred eight billion, five hundred sixteen million, four hundred five thousand, eight hundred forty".