Search a number
-
+
195370056000 = 26355373293
BaseRepresentation
bin1011010111110011110…
…1100111100101000000
3200200021200020011100000
42311330331213211000
511200104213243000
6225430214200000
720054311035000
oct2657475474500
9620250204300
10195370056000
11759463377a9
1231a45053000
1315567049542
14965522c000
155136c69000
hex2d7cf67940

195370056000 has 1344 divisors, whose sum is σ = 848080396800. Its totient is φ = 44503603200.

The previous prime is 195370055989. The next prime is 195370056023. The reversal of 195370056000 is 650073591.

It is a happy number.

195370056000 is a `hidden beast` number, since 1 + 95 + 3 + 7 + 0 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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, 666791854 + ... + 666792146.

It is an arithmetic number, because the mean of its divisors is an integer number (631012200).

Almost surely, 2195370056000 is an apocalyptic number.

195370056000 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 195370056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424040198400).

195370056000 is an abundant number, since it is smaller than the sum of its proper divisors (652710340800).

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

195370056000 is an frugal number, since it uses more digits than its factorization.

195370056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 195370056000 in words is "one hundred ninety-five billion, three hundred seventy million, fifty-six thousand".