Search a number
-
+
196056599040 = 293551718539
BaseRepresentation
bin1011011010010111100…
…0100100101000000000
3200202001112002011100000
42312211320210220000
511203010442132130
6230022301200000
720110315411131
oct2664570445000
9622045064300
10196056599040
1176168925745
1231bb6b60000
1315646356723
1496bc4a1c88
15517717e260
hex2da5e24a00

196056599040 has 480 divisors, whose sum is σ = 745607903040. Its totient is φ = 49203707904.

The previous prime is 196056599033. The next prime is 196056599069. The reversal of 196056599040 is 40995650691.

196056599040 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 5 + 6 + 599 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10566091 + ... + 10584629.

It is an arithmetic number, because the mean of its divisors is an integer number (1553349798).

Almost surely, 2196056599040 is an apocalyptic number.

196056599040 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 196056599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372803951520).

196056599040 is an abundant number, since it is smaller than the sum of its proper divisors (549551304000).

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

196056599040 is an equidigital number, since it uses as much as digits as its factorization.

196056599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18594 (or 18566 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 196056599040 in words is "one hundred ninety-six billion, fifty-six million, five hundred ninety-nine thousand, forty".