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196315782768 = 24327238995143
BaseRepresentation
bin1011011011010101010…
…1010001111001110000
3200202201120210001120100
42312311111101321300
511204023320022033
6230104120312400
720116613422620
oct2666525217160
9622646701510
10196315782768
1176291161276
1232069912700
1315687c63291
149704a8c880
15518ecc9513
hex2db5551e70

196315782768 has 240 divisors, whose sum is σ = 662567592960. Its totient is φ = 53048134656.

The previous prime is 196315782701. The next prime is 196315782809. The reversal of 196315782768 is 867287513691.

196315782768 is a `hidden beast` number, since 1 + 9 + 6 + 31 + 578 + 27 + 6 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2015805 + ... + 2110947.

It is an arithmetic number, because the mean of its divisors is an integer number (2760698304).

Almost surely, 2196315782768 is an apocalyptic number.

196315782768 is a gapful number since it is divisible by the number (18) 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 196315782768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331283796480).

196315782768 is an abundant number, since it is smaller than the sum of its proper divisors (466251810192).

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

196315782768 is a wasteful number, since it uses less digits than its factorization.

196315782768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95276 (or 95267 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 196315782768 in words is "one hundred ninety-six billion, three hundred fifteen million, seven hundred eighty-two thousand, seven hundred sixty-eight".