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191489425920 = 29335131032069
BaseRepresentation
bin1011001001010110101…
…0001100001000000000
3200022021020010201122000
42302111222030020000
511114132243112140
6223545150544000
716556200156452
oct2622552141000
9608236121560
10191489425920
1174234874a01
1231141508000
1315099091020
1493a7aac2d2
154eab222a30
hex2c95a8c200

191489425920 has 640 divisors, whose sum is σ = 739977638400. Its totient is φ = 46655668224.

The previous prime is 191489425901. The next prime is 191489425949. The reversal of 191489425920 is 29524984191.

191489425920 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 8 + 9 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 63 ways as a sum of consecutive naturals, for example, 92550646 + ... + 92552714.

It is an arithmetic number, because the mean of its divisors is an integer number (1156215060).

Almost surely, 2191489425920 is an apocalyptic number.

191489425920 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 191489425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369988819200).

191489425920 is an abundant number, since it is smaller than the sum of its proper divisors (548488212480).

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

191489425920 is a wasteful number, since it uses less digits than its factorization.

191489425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 191489425920 in words is "one hundred ninety-one billion, four hundred eighty-nine million, four hundred twenty-five thousand, nine hundred twenty".