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195213401640 = 2332519263108517
BaseRepresentation
bin1011010111001110100…
…0000001111000101000
3200122212202110021221200
42311303220001320220
511144244112323030
6225402500404200
720050366351515
oct2656350017050
9618782407850
10195213401640
117587596aa94
1231a006a6660
131554075a85a
14963c4d030c
155128122d60
hex2d73a01e28

195213401640 has 192 divisors, whose sum is σ = 670380796800. Its totient is φ = 49129099776.

The previous prime is 195213401609. The next prime is 195213401723. The reversal of 195213401640 is 46104312591.

It is a happy number.

195213401640 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 1 + 3 + 4 + 0 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195213401595 and 195213401604.

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 47 ways as a sum of consecutive naturals, for example, 1744662 + ... + 1853178.

It is an arithmetic number, because the mean of its divisors is an integer number (3491566650).

Almost surely, 2195213401640 is an apocalyptic number.

195213401640 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 195213401640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335190398400).

195213401640 is an abundant number, since it is smaller than the sum of its proper divisors (475167395160).

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

195213401640 is a wasteful number, since it uses less digits than its factorization.

195213401640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108816 (or 108809 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 195213401640 in words is "one hundred ninety-five billion, two hundred thirteen million, four hundred one thousand, six hundred forty".