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195212211948 = 223613231811237
BaseRepresentation
bin1011010111001110001…
…1011111011011101100
3200122212200012212000000
42311303203133123230
511144243311240243
6225402415104300
720050353265155
oct2656343373354
9618780185000
10195212211948
1175875228176
1231a00212090
13155404321b0
14963c2a092c
155127e8a5d3
hex2d738df6ec

195212211948 has 336 divisors, whose sum is σ = 579227952576. Its totient is φ = 57090147840.

The previous prime is 195212211881. The next prime is 195212211949. The reversal of 195212211948 is 849112212591.

195212211948 is a `hidden beast` number, since 1 + 9 + 521 + 2 + 2 + 119 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (195212211949) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 157810386 + ... + 157811622.

It is an arithmetic number, because the mean of its divisors is an integer number (1723892716).

Almost surely, 2195212211948 is an apocalyptic number.

195212211948 is a gapful number since it is divisible by the number (18) 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 195212211948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289613976288).

195212211948 is an abundant number, since it is smaller than the sum of its proper divisors (384015740628).

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

195212211948 is a wasteful number, since it uses less digits than its factorization.

195212211948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1459 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 195212211948 in words is "one hundred ninety-five billion, two hundred twelve million, two hundred eleven thousand, nine hundred forty-eight".