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197114975712 = 25332937892389
BaseRepresentation
bin1011011110010011110…
…1111101010111100000
3200211210021121021012000
42313210331331113200
511212142413210322
6230315310004000
720145456435324
oct2674475752740
9624707537160
10197114975712
11766612a0806
12322514a6600
13157846c2a05
14977cc87984
1551da0423ac
hex2de4f7d5e0

197114975712 has 384 divisors, whose sum is σ = 617939280000. Its totient is φ = 61005643776.

The previous prime is 197114975711. The next prime is 197114975737. The reversal of 197114975712 is 217579411791.

197114975712 is a `hidden beast` number, since 1 + 97 + 1 + 1 + 497 + 57 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197114975711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82508214 + ... + 82510602.

It is an arithmetic number, because the mean of its divisors is an integer number (1609216875).

Almost surely, 2197114975712 is an apocalyptic number.

197114975712 is a gapful number since it is divisible by the number (12) 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 197114975712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308969640000).

197114975712 is an abundant number, since it is smaller than the sum of its proper divisors (420824304288).

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

197114975712 is a wasteful number, since it uses less digits than its factorization.

197114975712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2549 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 54.

The spelling of 197114975712 in words is "one hundred ninety-seven billion, one hundred fourteen million, nine hundred seventy-five thousand, seven hundred twelve".