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196693689816 = 2332131719312677
BaseRepresentation
bin1011011100101111011…
…0111000010111011000
3200210200220212201120200
42313023312320113120
511210312041033231
6230205420222200
720132152530501
oct2671366702730
9623626781520
10196693689816
1176465507448
123215439a960
131571833a910
14973cd41ba8
1551b3076be6
hex2dcbdb85d8

196693689816 has 576 divisors, whose sum is σ = 661674031200. Its totient is φ = 52145233920.

The previous prime is 196693689809. The next prime is 196693689817. The reversal of 196693689816 is 618986396691.

196693689816 is a `hidden beast` number, since 196 + 69 + 368 + 9 + 8 + 16 = 666.

It is a super-2 number, since 2×1966936898162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196693689817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 290536870 + ... + 290537546.

Almost surely, 2196693689816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196693689816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330837015600).

196693689816 is an abundant number, since it is smaller than the sum of its proper divisors (464980341384).

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

196693689816 is a wasteful number, since it uses less digits than its factorization.

196693689816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 762 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 72.

The spelling of 196693689816 in words is "one hundred ninety-six billion, six hundred ninety-three million, six hundred eighty-nine thousand, eight hundred sixteen".