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197200593920 = 21051129120739
BaseRepresentation
bin1011011110101000010…
…0100100010000000000
3200212000020201010021202
42313222010210100000
511212331323001140
6230332005040332
720150546251151
oct2675204442000
9625006633252
10197200593920
11766a5659a60
12322760b60a8
131579936c385
14978a3b3928
1551e2805915
hex2dea124400

197200593920 has 176 divisors, whose sum is σ = 533854324800. Its totient is φ = 69235998720.

The previous prime is 197200593869. The next prime is 197200593943. The reversal of 197200593920 is 29395002791.

It is a tau number, because it is divible by the number of its divisors (176).

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 15 ways as a sum of consecutive naturals, for example, 1572911 + ... + 1693649.

Almost surely, 2197200593920 is an apocalyptic number.

197200593920 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 197200593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266927162400).

197200593920 is an abundant number, since it is smaller than the sum of its proper divisors (336653730880).

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

197200593920 is a wasteful number, since it uses less digits than its factorization.

197200593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120804 (or 120786 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 47.

The spelling of 197200593920 in words is "one hundred ninety-seven billion, two hundred million, five hundred ninety-three thousand, nine hundred twenty".