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128941622208 = 26327316789173
BaseRepresentation
bin111100000010110000…
…1010000001111000000
3110022211011102002020100
41320011201100033000
54103033023402313
6135122430242400
712213202463550
oct1700541201700
9408734362210
10128941622208
114a758203243
1220ba6356400
13c20b837b99
146352ac3160
153549ea0173
hex1e058503c0

128941622208 has 672 divisors, whose sum is σ = 450077921280. Its totient is φ = 34524610560.

The previous prime is 128941622203. The next prime is 128941622231. The reversal of 128941622208 is 802226149821.

128941622208 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 416 + 2 + 220 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128941622203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745327210 + ... + 745327382.

Almost surely, 2128941622208 is an apocalyptic number.

128941622208 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 128941622208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225038960640).

128941622208 is an abundant number, since it is smaller than the sum of its proper divisors (321136299072).

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

128941622208 is a wasteful number, since it uses less digits than its factorization.

128941622208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 128941622208 in words is "one hundred twenty-eight billion, nine hundred forty-one million, six hundred twenty-two thousand, two hundred eight".