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196531695360 = 283357111321923
BaseRepresentation
bin1011011100001000110…
…0111010111100000000
3200210021122001112222000
42313002030322330000
511204444103222420
6230141352144000
720125144563450
oct2670214727400
9623248045860
10196531695360
1176392022630
123210a098000
13156c08cc400
149725613d60
1551a3c28690
hex2dc233af00

196531695360 has 3456 divisors, whose sum is σ = 1034178969600. Its totient is φ = 34159656960.

The previous prime is 196531695307. The next prime is 196531695361. The reversal of 196531695360 is 63596135691.

196531695360 is a `hidden beast` number, since 1 + 96 + 5 + 3 + 16 + 9 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 196531695297 and 196531695306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196531695361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8544856309 + ... + 8544856331.

It is an arithmetic number, because the mean of its divisors is an integer number (299241600).

Almost surely, 2196531695360 is an apocalyptic number.

196531695360 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 196531695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517089484800).

196531695360 is an abundant number, since it is smaller than the sum of its proper divisors (837647274240).

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

196531695360 is a wasteful number, since it uses less digits than its factorization.

196531695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 196531695360 in words is "one hundred ninety-six billion, five hundred thirty-one million, six hundred ninety-five thousand, three hundred sixty".