Search a number
-
+
21092798317680 = 24325107787347891
BaseRepresentation
bin1001100101111000011001…
…10000000100010001110000
32202200110012101021220110200
410302330030300010101300
510231041022332131210
6112505521530355200
74304622130325025
oct462741460042160
982613171256420
1021092798317680
1167a2450842561
122447b1358bb00
13ba007206010b
1452cc7b0a954c
15268a134800c0
hex132f0cc04470

21092798317680 has 240 divisors, whose sum is σ = 71589727857024. Its totient is φ = 5565082222080.

The previous prime is 21092798317601. The next prime is 21092798317751. The reversal of 21092798317680 is 8671389729012.

21092798317680 is a `hidden beast` number, since 210 + 9 + 27 + 9 + 8 + 317 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×210927983176802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60456535 + ... + 60804425.

Almost surely, 221092798317680 is an apocalyptic number.

21092798317680 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 21092798317680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35794863928512).

21092798317680 is an abundant number, since it is smaller than the sum of its proper divisors (50496929539344).

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

21092798317680 is a wasteful number, since it uses less digits than its factorization.

21092798317680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348804 (or 348795 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 21092798317680 in words is "twenty-one trillion, ninety-two billion, seven hundred ninety-eight million, three hundred seventeen thousand, six hundred eighty".