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195342077952 = 21235723253
BaseRepresentation
bin1011010111101101001…
…0111001000000000000
3200200012201120201200000
42311323102321000000
511200030032443302
6225423334400000
720053521160230
oct2657322710000
9620181521600
10195342077952
117593156844a
1231a37800000
1315561301998
149651627cc0
15513458e31c
hex2d7b4b9000

195342077952 has 936 divisors, whose sum is σ = 712274157504. Its totient is φ = 52378140672.

The previous prime is 195342077933. The next prime is 195342078013. The reversal of 195342077952 is 259770243591.

195342077952 is a `hidden beast` number, since 19 + 53 + 420 + 77 + 95 + 2 = 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 71 ways as a sum of consecutive naturals, for example, 3685699558 + ... + 3685699610.

It is an arithmetic number, because the mean of its divisors is an integer number (760976664).

Almost surely, 2195342077952 is an apocalyptic number.

195342077952 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 195342077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356137078752).

195342077952 is an abundant number, since it is smaller than the sum of its proper divisors (516932079552).

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

195342077952 is an frugal number, since it uses more digits than its factorization.

195342077952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 195342077952 in words is "one hundred ninety-five billion, three hundred forty-two million, seventy-seven thousand, nine hundred fifty-two".