Search a number
-
+
128120204520 = 23365711431327
BaseRepresentation
bin111011101010010001…
…1110010110011101000
3110020200220202202000000
41313110203302303220
54044342233021040
6134505124343000
712153636525030
oct1672443626350
9406626682000
10128120204520
114a376573a50
12209b7244a60
13c10a5c6509
1462b59808c0
1534ecce7130
hex1dd48f2ce8

128120204520 has 896 divisors, whose sum is σ = 551803760640. Its totient is φ = 25983659520.

The previous prime is 128120204503. The next prime is 128120204561. The reversal of 128120204520 is 25402021821.

128120204520 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 202 + 0 + 452 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 96548097 + ... + 96549423.

Almost surely, 2128120204520 is an apocalyptic number.

128120204520 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 128120204520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275901880320).

128120204520 is an abundant number, since it is smaller than the sum of its proper divisors (423683556120).

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

128120204520 is a wasteful number, since it uses less digits than its factorization.

128120204520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 128120204520 in words is "one hundred twenty-eight billion, one hundred twenty million, two hundred four thousand, five hundred twenty".