Search a number
-
+
196918947720 = 2335511331491
BaseRepresentation
bin1011011101100101001…
…0001010111110001000
3200211021121202000100000
42313121102022332020
511211242222311340
6230244024243000
720140556303205
oct2673122127610
9624247660300
10196918947720
1176570681000
12321b7910460
1315752bc9611
149760c1acac
1551c7c1ed30
hex2dd948af88

196918947720 has 768 divisors, whose sum is σ = 755092316160. Its totient is φ = 46103904000.

The previous prime is 196918947713. The next prime is 196918947727. The reversal of 196918947720 is 27749819691.

196918947720 is a `hidden beast` number, since 1 + 9 + 69 + 1 + 89 + 477 + 20 = 666.

196918947720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196918947713) and next prime (196918947727).

It is not an unprimeable number, because it can be changed into a prime (196918947727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401056675 + ... + 401057165.

It is an arithmetic number, because the mean of its divisors is an integer number (983193120).

Almost surely, 2196918947720 is an apocalyptic number.

196918947720 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 196918947720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377546158080).

196918947720 is an abundant number, since it is smaller than the sum of its proper divisors (558173368440).

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

196918947720 is a wasteful number, since it uses less digits than its factorization.

196918947720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 196918947720 in words is "one hundred ninety-six billion, nine hundred eighteen million, nine hundred forty-seven thousand, seven hundred twenty".