Search a number
-
+
123980709888 = 2153476673
BaseRepresentation
bin111001101110111010…
…0111000000000000000
3102212000102120121220000
41303131310320000000
54012403030204023
6132542252520000
711646233434410
oct1633564700000
9385012517800
10123980709888
1148641973402
1220040a80000
13b8cab137c9
146001cb8640
1533596ba243
hex1cddd38000

123980709888 has 320 divisors, whose sum is σ = 423384411120. Its totient is φ = 35417751552.

The previous prime is 123980709887. The next prime is 123980709901. The reversal of 123980709888 is 888907089321.

123980709888 is a `hidden beast` number, since 12 + 398 + 0 + 70 + 98 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123980709887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18576120 + ... + 18582792.

Almost surely, 2123980709888 is an apocalyptic number.

123980709888 is a gapful number since it is divisible by the number (18) 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 123980709888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211692205560).

123980709888 is an abundant number, since it is smaller than the sum of its proper divisors (299403701232).

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

123980709888 is an frugal number, since it uses more digits than its factorization.

123980709888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6685 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 123980709888 in words is "one hundred twenty-three billion, nine hundred eighty million, seven hundred nine thousand, eight hundred eighty-eight".