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197000796960 = 253251121130629
BaseRepresentation
bin1011011101111000101…
…0011001101100100000
3200211111022202101101100
42313132022121230200
511211424201000320
6230300110434400
720142602100552
oct2673612315440
9624438671340
10197000796960
11766028a5600
123221b202a00
1315766b56616
14976ba454d2
1551ceedb790
hex2dde299b20

197000796960 has 216 divisors, whose sum is σ = 738936804060. Its totient is φ = 47757726720.

The previous prime is 197000796953. The next prime is 197000796961. The reversal of 197000796960 is 69697000791.

197000796960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 196592918544 + 407878416 = 443388^2 + 20196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 197000796897 and 197000796906.

It is not an unprimeable number, because it can be changed into a prime (197000796961) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 391075 + ... + 739554.

Almost surely, 2197000796960 is an apocalyptic number.

197000796960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

197000796960 is an abundant number, since it is smaller than the sum of its proper divisors (541936007100).

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

197000796960 is a wasteful number, since it uses less digits than its factorization.

197000796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130672 (or 1130650 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 197000796960 in words is "one hundred ninety-seven billion, seven hundred ninety-six thousand, nine hundred sixty".