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195194664960 = 211357387041
BaseRepresentation
bin1011010111001010000…
…0100011100000000000
3200122211110012101001120
42311302200203200000
511144224313234320
6225400551032240
720050051163601
oct2656240434000
9618743171046
10195194664960
1175866332929
12319b636b680
13155398ca469
149639c13da8
155126671440
hex2d72823800

195194664960 has 192 divisors, whose sum is σ = 633032094240. Its totient is φ = 51338280960.

The previous prime is 195194664941. The next prime is 195194665021. The reversal of 195194664960 is 69466491591.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 195194664894 and 195194664903.

It is a congruent number.

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, 2199040 + ... + 2286080.

Almost surely, 2195194664960 is an apocalyptic number.

195194664960 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 195194664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316516047120).

195194664960 is an abundant number, since it is smaller than the sum of its proper divisors (437837429280).

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

195194664960 is an equidigital number, since it uses as much as digits as its factorization.

195194664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87144 (or 87124 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 195194664960 in words is "one hundred ninety-five billion, one hundred ninety-four million, six hundred sixty-four thousand, nine hundred sixty".