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128001116880 = 243257134345433
BaseRepresentation
bin111011100110101110…
…1100000101011010000
3110020101121200110110200
41313031131200223100
54044121241220010
6134445232055200
712150662353530
oct1671535405320
9406347613420
10128001116880
114a31532570a
1220983394500
13c0bba2b960
1462a3c214c0
1534e2621cc0
hex1dcd760ad0

128001116880 has 480 divisors, whose sum is σ = 541387182336. Its totient is φ = 26378182656.

The previous prime is 128001116879. The next prime is 128001116899. The reversal of 128001116880 is 88611100821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2794644 + ... + 2840076.

Almost surely, 2128001116880 is an apocalyptic number.

128001116880 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 128001116880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270693591168).

128001116880 is an abundant number, since it is smaller than the sum of its proper divisors (413386065456).

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

128001116880 is a wasteful number, since it uses less digits than its factorization.

128001116880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45515 (or 45506 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The spelling of 128001116880 in words is "one hundred twenty-eight billion, one million, one hundred sixteen thousand, eight hundred eighty".