Search a number
-
+
23891918340096 = 2143442432
BaseRepresentation
bin1010110111010110001010…
…10011100100000000000000
310010121001012212110000010000
411123223011103210000000
511112421122043340341
6122451443515040000
75014064003050602
oct533530523440000
9103531185400100
1023891918340096
117681562050934
12281a4b7140000
131043cc9167b51
145c8537097172
152b673c37a8b6
hex15bac54e4000

23891918340096 has 225 divisors, whose sum is σ = 71395441337451. Its totient is φ = 7962095812608.

The previous prime is 23891918340053. The next prime is 23891918340109. The reversal of 23891918340096 is 69004381919832.

The square root of 23891918340096 is 4887936.

It is a perfect power (a square), and thus also a powerful number.

23891918340096 is a `hidden beast` number, since 2 + 38 + 9 + 19 + 183 + 400 + 9 + 6 = 666.

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 14 ways as a sum of consecutive naturals, for example, 5630900151 + ... + 5630904393.

Almost surely, 223891918340096 is an apocalyptic number.

23891918340096 is the 4887936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23891918340096

23891918340096 is an abundant number, since it is smaller than the sum of its proper divisors (47503522997355).

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

23891918340096 is an frugal number, since it uses more digits than its factorization.

23891918340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 23891918340096 in words is "twenty-three trillion, eight hundred ninety-one billion, nine hundred eighteen million, three hundred forty thousand, ninety-six".