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190725407460 = 223557192312829
BaseRepresentation
bin1011000110100000011…
…1101100001011100100
3200020021222111120100000
42301220013230023210
511111101201014320
6223341255221300
716531232133420
oct2615007541344
9606258446300
10190725407460
117398257a595
1230b69677830
1314ca69c88b3
14933442bb80
154e64106c90
hex2c681ec2e4

190725407460 has 576 divisors, whose sum is σ = 753196953600. Its totient is φ = 39501209088.

The previous prime is 190725407459. The next prime is 190725407501. The reversal of 190725407460 is 64704527091.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14860326 + ... + 14873154.

It is an arithmetic number, because the mean of its divisors is an integer number (1307633600).

Almost surely, 2190725407460 is an apocalyptic number.

190725407460 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 190725407460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376598476800).

190725407460 is an abundant number, since it is smaller than the sum of its proper divisors (562471546140).

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

190725407460 is a wasteful number, since it uses less digits than its factorization.

190725407460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12902 (or 12888 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 190725407460 in words is "one hundred ninety billion, seven hundred twenty-five million, four hundred seven thousand, four hundred sixty".