Search a number
-
+
197631086889600 = 27345271341919997
BaseRepresentation
bin101100111011111010010010…
…101110110000101010000000
3221220202100101020200110020000
4230323322102232300222000
5201400441431220431400
61540154245024120000
756425242366154560
oct5473722256605200
9856670336613200
10197631086889600
1157a75967354471
121a1ba28b166000
1386376ba9c1a10
1436b3577904da0
1517cac88938600
hexb3be92bb0a80

197631086889600 has 1920 divisors, whose sum is σ = 899789916009600. Its totient is φ = 41596389457920.

The previous prime is 197631086889569. The next prime is 197631086889601. The reversal of 197631086889600 is 6988680136791.

197631086889600 is a `hidden beast` number, since 1 + 9 + 7 + 6 + 3 + 1 + 0 + 8 + 6 + 8 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (197631086889601) 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 239 ways as a sum of consecutive naturals, for example, 9883026802 + ... + 9883046798.

It is an arithmetic number, because the mean of its divisors is an integer number (468640581255).

Almost surely, 2197631086889600 is an apocalyptic number.

197631086889600 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 197631086889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449894958004800).

197631086889600 is an abundant number, since it is smaller than the sum of its proper divisors (702158829120000).

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

197631086889600 is a wasteful number, since it uses less digits than its factorization.

197631086889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20472 (or 20446 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 197631086889600 in words is "one hundred ninety-seven trillion, six hundred thirty-one billion, eighty-six million, eight hundred eighty-nine thousand, six hundred".