Search a number
-
+
217274796218340 = 223257331820913829
BaseRepresentation
bin110001011001110000111011…
…000011000001011111100100
31001111022021020010101112211100
4301121300323003001133210
5211434312240312441330
62050034355144440100
763523404666366000
oct6131607303013744
91044267203345740
10217274796218340
11632597a6139793
1220451389779030
139430c05058743
143b92228a59700
151a1bc39368060
hexc59c3b0c17e4

217274796218340 has 576 divisors, whose sum is σ = 793538403840000. Its totient is φ = 48051454832640.

The previous prime is 217274796218339. The next prime is 217274796218383. The reversal of 217274796218340 is 43812697472712.

It is a happy number.

217274796218340 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 7 + 4 + 79 + 6 + 218 + 340 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15711526546 + ... + 15711540374.

It is an arithmetic number, because the mean of its divisors is an integer number (1377670840000).

Almost surely, 2217274796218340 is an apocalyptic number.

217274796218340 is a gapful number since it is divisible by the number (20) 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 217274796218340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396769201920000).

217274796218340 is an abundant number, since it is smaller than the sum of its proper divisors (576263607621660).

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

217274796218340 is a wasteful number, since it uses less digits than its factorization.

217274796218340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22105 (or 22086 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 217274796218340 in words is "two hundred seventeen trillion, two hundred seventy-four billion, seven hundred ninety-six million, two hundred eighteen thousand, three hundred forty".