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196146426240 = 27325191178289
BaseRepresentation
bin1011011010101100111…
…1001111000110000000
3200202021210002212002100
42312223033033012000
511203201441114430
6230035230350400
720112456054042
oct2665317170600
9622253085070
10196146426240
11762045a91a6
123202105b400
131565bb47b0b
1496ca3a5a92
15517eec4960
hex2dab3cf180

196146426240 has 192 divisors, whose sum is σ = 680868115200. Its totient is φ = 52031569920.

The previous prime is 196146426233. The next prime is 196146426277. The reversal of 196146426240 is 42624641691.

196146426240 is a `hidden beast` number, since 1 + 9 + 6 + 14 + 6 + 4 + 2 + 624 + 0 = 666.

196146426240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1011016 + ... + 1189304.

It is an arithmetic number, because the mean of its divisors is an integer number (3546188100).

Almost surely, 2196146426240 is an apocalyptic number.

196146426240 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 196146426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340434057600).

196146426240 is an abundant number, since it is smaller than the sum of its proper divisors (484721688960).

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

196146426240 is a wasteful number, since it uses less digits than its factorization.

196146426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178505 (or 178490 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 196146426240 in words is "one hundred ninety-six billion, one hundred forty-six million, four hundred twenty-six thousand, two hundred forty".