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196705926144 = 2103572131773
BaseRepresentation
bin1011011100110010010…
…1100011110000000000
3200210201202220101200000
42313030211203300000
511210323204114034
6230210534400000
720132361533100
oct2671445436000
9623652811600
10196705926144
1176471404812
1232158500000
131571aa33350
149740809200
1551b4192599
hex2dcc963c00

196705926144 has 1584 divisors, whose sum is σ = 792002117088. Its totient is φ = 48157949952.

The previous prime is 196705926107. The next prime is 196705926187. The reversal of 196705926144 is 441629507691.

196705926144 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 0 + 592 + 6 + 1 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2694601692 + ... + 2694601764.

Almost surely, 2196705926144 is an apocalyptic number.

196705926144 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 196705926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396001058544).

196705926144 is an abundant number, since it is smaller than the sum of its proper divisors (595296190944).

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

196705926144 is a wasteful number, since it uses less digits than its factorization.

196705926144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 196705926144 in words is "one hundred ninety-six billion, seven hundred five million, nine hundred twenty-six thousand, one hundred forty-four".