Search a number
-
+
128154991104 = 293472811571
BaseRepresentation
bin111011101011010100…
…0011111101000000000
3110020210100020002020000
41313112220133220000
54044430134203404
6134512410120000
712154541310450
oct1672650375000
9406710202200
10128154991104
114a394173698
1220a06a20000
13c1148860aa
1462ba437d60
153500db9339
hex1dd6a1fa00

128154991104 has 400 divisors, whose sum is σ = 438987992256. Its totient is φ = 36462182400.

The previous prime is 128154991099. The next prime is 128154991189. The reversal of 128154991104 is 401199451821.

It is a happy number.

128154991104 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 549 + 91 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128154991104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81574639 + ... + 81576209.

Almost surely, 2128154991104 is an apocalyptic number.

128154991104 is a gapful number since it is divisible by the number (14) 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 128154991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219493996128).

128154991104 is an abundant number, since it is smaller than the sum of its proper divisors (310833001152).

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

128154991104 is an equidigital number, since it uses as much as digits as its factorization.

128154991104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 128154991104 in words is "one hundred twenty-eight billion, one hundred fifty-four million, nine hundred ninety-one thousand, one hundred four".