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196273271040 = 28357311192331
BaseRepresentation
bin1011011011001011001…
…1000111000100000000
3200202121121210020102220
42312302303013010000
511203431424133130
6230100001211040
720115556164000
oct2666263070400
9622547706386
10196273271040
117626a165610
1232057630a80
131567c1ca402
1496dd184000
15518b1cd410
hex2db2cc7100

196273271040 has 2304 divisors, whose sum is σ = 904200192000. Its totient is φ = 35765452800.

The previous prime is 196273271039. The next prime is 196273271093. The reversal of 196273271040 is 40172372691.

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

It is a junction number, because it is equal to n+sod(n) for n = 196273270983 and 196273271001.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6331395825 + ... + 6331395855.

It is an arithmetic number, because the mean of its divisors is an integer number (392448000).

Almost surely, 2196273271040 is an apocalyptic number.

196273271040 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 196273271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452100096000).

196273271040 is an abundant number, since it is smaller than the sum of its proper divisors (707926920960).

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

196273271040 is a wasteful number, since it uses less digits than its factorization.

196273271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 196273271040 in words is "one hundred ninety-six billion, two hundred seventy-three million, two hundred seventy-one thousand, forty".