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196690727520 = 2533572291792
BaseRepresentation
bin1011011100101110101…
…1100101001001100000
3200210200201022020002000
42313023223211021200
511210310311240040
6230205232524000
720132115412200
oct2671353451140
9623621266060
10196690727520
1176463873871
12321533b0600
1315717841491
14973c7b0400
1551b2b8e130
hex2dcbae5260

196690727520 has 864 divisors, whose sum is σ = 833080399200. Its totient is φ = 43165108224.

The previous prime is 196690727509. The next prime is 196690727543. The reversal of 196690727520 is 25727096691.

196690727520 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 90 + 7 + 27 + 520 = 666.

196690727520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1098830791 + ... + 1098830969.

It is an arithmetic number, because the mean of its divisors is an integer number (964213425).

Almost surely, 2196690727520 is an apocalyptic number.

196690727520 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 196690727520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416540199600).

196690727520 is an abundant number, since it is smaller than the sum of its proper divisors (636389671680).

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

196690727520 is a wasteful number, since it uses less digits than its factorization.

196690727520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 196690727520 in words is "one hundred ninety-six billion, six hundred ninety million, seven hundred twenty-seven thousand, five hundred twenty".