Search a number
-
+
128879122680 = 2337571119253
BaseRepresentation
bin111100000000111001…
…0110101100011111000
3110022122210210210000000
41320001302311203320
54102421023411210
6135112314513000
712211513316310
oct1700162654370
9408583723000
10128879122680
114a7259a5440
1220b89435760
13c1cb8c4309
146348694440
153544756ac0
hex1e01cb58f8

128879122680 has 1536 divisors, whose sum is σ = 583050700800. Its totient is φ = 24891909120.

The previous prime is 128879122679. The next prime is 128879122693. The reversal of 128879122680 is 86221978821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2431681534 + ... + 2431681586.

It is an arithmetic number, because the mean of its divisors is an integer number (379590300).

Almost surely, 2128879122680 is an apocalyptic number.

128879122680 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 128879122680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291525350400).

128879122680 is an abundant number, since it is smaller than the sum of its proper divisors (454171578120).

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

128879122680 is a wasteful number, since it uses less digits than its factorization.

128879122680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 128879122680 in words is "one hundred twenty-eight billion, eight hundred seventy-nine million, one hundred twenty-two thousand, six hundred eighty".