Search a number
-
+
11997543655680 = 2835112931378539
BaseRepresentation
bin1010111010010110010101…
…0100111110100100000000
31120110221202110000212211220
42232211211110332210000
53033031432133440210
641303332342035040
72345536213305552
oct256454524764400
946427673025756
1011997543655680
113906147688a80
121419255118a80
13690495836bcb
142d69816934d2
1515c13c469c70
hexae96553e900

11997543655680 has 1152 divisors, whose sum is σ = 45848600985600. Its totient is φ = 2643856588800.

The previous prime is 11997543655673. The next prime is 11997543655681. The reversal of 11997543655680 is 8655634579911.

It is not an unprimeable number, because it can be changed into a prime (11997543655681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1405024851 + ... + 1405033389.

It is an arithmetic number, because the mean of its divisors is an integer number (39799132800).

Almost surely, 211997543655680 is an apocalyptic number.

11997543655680 is a gapful number since it is divisible by the number (10) 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 11997543655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22924300492800).

11997543655680 is an abundant number, since it is smaller than the sum of its proper divisors (33851057329920).

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

11997543655680 is a wasteful number, since it uses less digits than its factorization.

11997543655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8671 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 69.

The spelling of 11997543655680 in words is "eleven trillion, nine hundred ninety-seven billion, five hundred forty-three million, six hundred fifty-five thousand, six hundred eighty".