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197103144960 = 212345131907
BaseRepresentation
bin1011011110010001000…
…0110101000000000000
3200211202110100012110000
42313210100311000000
511212131401114320
6230314204240000
720145254042331
oct2674420650000
9624673305400
10197103144960
1176655650127
1232249540000
131578210ca77
14977b488288
1551d8ea6c90
hex2de4435000

197103144960 has 520 divisors, whose sum is σ = 712743600096. Its totient is φ = 52102103040.

The previous prime is 197103144949. The next prime is 197103144983. The reversal of 197103144960 is 69441301791.

It is a happy number.

197103144960 is a `hidden beast` number, since 197 + 10 + 3 + 1 + 449 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217312827 + ... + 217313733.

Almost surely, 2197103144960 is an apocalyptic number.

197103144960 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 197103144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356371800048).

197103144960 is an abundant number, since it is smaller than the sum of its proper divisors (515640455136).

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

197103144960 is an equidigital number, since it uses as much as digits as its factorization.

197103144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 197103144960 in words is "one hundred ninety-seven billion, one hundred three million, one hundred forty-four thousand, nine hundred sixty".