Search a number
-
+
213699918722472 = 2334713219294091237
BaseRepresentation
bin110000100101101111100011…
…101111100111010110101000
31001000122111211202200122210000
4300211233203233213112220
5211002224413143104342
62034300215401223000
763004211126136060
oct6045574357472650
91030574752618700
10213699918722472
1162100698a78726
121bb74586491a60
139231a7b5c7500
143aab1ba2343a0
1519a8c5a5c644c
hexc25be3be75a8

213699918722472 has 1920 divisors, whose sum is σ = 809232763680000. Its totient is φ = 51385285066752.

The previous prime is 213699918722449. The next prime is 213699918722473. The reversal of 213699918722472 is 274227819996312.

213699918722472 is a `hidden beast` number, since 2 + 1 + 3 + 69 + 9 + 91 + 8 + 7 + 2 + 2 + 472 = 666.

It is a super-2 number, since 2×2136999187224722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213699918722472.

It is not an unprimeable number, because it can be changed into a prime (213699918722473) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 172756603038 + ... + 172756604274.

It is an arithmetic number, because the mean of its divisors is an integer number (421475397750).

Almost surely, 2213699918722472 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 213699918722472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404616381840000).

213699918722472 is an abundant number, since it is smaller than the sum of its proper divisors (595532844957528).

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

213699918722472 is a wasteful number, since it uses less digits than its factorization.

213699918722472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1719 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 213699918722472 in words is "two hundred thirteen trillion, six hundred ninety-nine billion, nine hundred eighteen million, seven hundred twenty-two thousand, four hundred seventy-two".