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195468443352 = 23337133192163
BaseRepresentation
bin1011011000001011010…
…0111011111011011000
3200200112112100202102000
42312002310323323120
511200304410141402
6225444051041000
720056614232410
oct2660264737330
9620475322360
10195468443352
1175996927666
1231a71ba0160
1315581547000
14966431d640
155140700c1c
hex2d82d3bed8

195468443352 has 768 divisors, whose sum is σ = 713817216000. Its totient is φ = 48539222784.

The previous prime is 195468443341. The next prime is 195468443377. The reversal of 195468443352 is 253344864591.

It is a happy number.

195468443352 is a `hidden beast` number, since 1 + 9 + 546 + 8 + 4 + 43 + 3 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1199192823 + ... + 1199192985.

It is an arithmetic number, because the mean of its divisors is an integer number (929449500).

Almost surely, 2195468443352 is an apocalyptic number.

195468443352 is a gapful number since it is divisible by the number (12) 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 195468443352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356908608000).

195468443352 is an abundant number, since it is smaller than the sum of its proper divisors (518348772648).

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

195468443352 is a wasteful number, since it uses less digits than its factorization.

195468443352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 207 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 195468443352 in words is "one hundred ninety-five billion, four hundred sixty-eight million, four hundred forty-three thousand, three hundred fifty-two".