Search a number
-
+
21318901422336 = 2834743771163
BaseRepresentation
bin1001101100011101100011…
…00010111101100100000000
32210111001210220011200220000
410312032301202331210000
510243242102231003321
6113201433524520000
74330145152110000
oct466166142754400
983431726150800
1021318901422336
11687a328085621
1224838b4b50000
13bb84962b263b
14539ba9c40000
1526e848372826
hex1363b18bd900

21318901422336 has 1800 divisors, whose sum is σ = 77710431484224. Its totient is φ = 5807171543040.

The previous prime is 21318901422323. The next prime is 21318901422347. The reversal of 21318901422336 is 63322410981312.

It is a happy number.

21318901422336 is a `hidden beast` number, since 2 + 1 + 318 + 90 + 14 + 2 + 233 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21318901422291 and 21318901422300.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 130790806191 + ... + 130790806353.

Almost surely, 221318901422336 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 21318901422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38855215742112).

21318901422336 is an abundant number, since it is smaller than the sum of its proper divisors (56391530061888).

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

21318901422336 is an frugal number, since it uses more digits than its factorization.

21318901422336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21318901422336 in words is "twenty-one trillion, three hundred eighteen billion, nine hundred one million, four hundred twenty-two thousand, three hundred thirty-six".