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195922976288 = 251344632
BaseRepresentation
bin1011011001110111101…
…0110101111000100000
3200201201012122102101012
42312131322311320200
511202222240220123
6230001125200052
720104103551334
oct2663572657040
9621635572335
10195922976288
11760aa459a16
1231b7a260028
1315624770000
1496a883b7c4
15516a587378
hex2d9deb5e20

195922976288 has 90 divisors (see below), whose sum is σ = 418770314739. Its totient is φ = 90230684544.

The previous prime is 195922976243. The next prime is 195922976299. The reversal of 195922976288 is 882679229591.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

195922976288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3429904 + 195919546384 = 1852^2 + 442628^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=312988.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 423159545 + ... + 423160007.

Almost surely, 2195922976288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195922976288

195922976288 is an abundant number, since it is smaller than the sum of its proper divisors (222847338451).

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

195922976288 is an frugal number, since it uses more digits than its factorization.

195922976288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 478 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 68.

The spelling of 195922976288 in words is "one hundred ninety-five billion, nine hundred twenty-two million, nine hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 463 676 926 1352 1852 2197 2704 3704 4394 5408 6019 7408 8788 12038 14816 17576 24076 28561 35152 48152 57122 70304 78247 96304 114244 156494 192608 214369 228488 312988 428738 456976 625976 857476 913952 1017211 1251952 1714952 2034422 2503904 2786797 3429904 4068844 5573594 6859808 8137688 11147188 13223743 16275376 22294376 26447486 32550752 36228361 44588752 52894972 72456722 89177504 105789944 144913444 211579888 289826888 423159776 470968693 579653776 941937386 1159307552 1883874772 3767749544 6122593009 7535499088 12245186018 15070998176 24490372036 48980744072 97961488144 195922976288