Search a number
-
+
122652830640 = 2435113127149239
BaseRepresentation
bin111001000111010101…
…1011010101110110000
3102201120212221101000010
41302032223122232300
54002143111040030
6132202415454520
711601310600344
oct1621653325660
9381525841003
10122652830640
114802036403a
121b930227440
13b748996c42
145d177bb624
1532ccd1e6b0
hex1c8eadabb0

122652830640 has 320 divisors, whose sum is σ = 390832128000. Its totient is φ = 31813189632.

The previous prime is 122652830611. The next prime is 122652830747. The reversal of 122652830640 is 46038256221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513191641 + ... + 513191879.

It is an arithmetic number, because the mean of its divisors is an integer number (1221350400).

Almost surely, 2122652830640 is an apocalyptic number.

122652830640 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 122652830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195416064000).

122652830640 is an abundant number, since it is smaller than the sum of its proper divisors (268179297360).

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

122652830640 is a wasteful number, since it uses less digits than its factorization.

122652830640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 122652830640 in words is "one hundred twenty-two billion, six hundred fifty-two million, eight hundred thirty thousand, six hundred forty".