Base | Representation |
---|---|
bin | 11101001110101100100011… |
… | …100101010100101111001000 |
3 | 121212011120102221100011110100 |
4 | 131032230203211110233020 |
5 | 113322204040324422100 |
6 | 1133224315341445400 |
7 | 36035444462152113 |
oct | 3516544345245710 |
9 | 555146387304410 |
10 | 128553263123400 |
11 | 37a63150724895 |
12 | 12502597870860 |
13 | 569669cc7b95b |
14 | 23a602279d57a |
15 | ecde732b0400 |
hex | 74eb23954bc8 |
128553263123400 has 288 divisors, whose sum is σ = 437096017725120. Its totient is φ = 33856989120000.
The previous prime is 128553263123377. The next prime is 128553263123419. The reversal of 128553263123400 is 4321362355821.
128553263123400 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 5 + 3 + 2 + 631 + 2 + 3 + 4 + 0 + 0 = 666.
128553263123400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1285532631234002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45654435 + ... + 48388365.
It is an arithmetic number, because the mean of its divisors is an integer number (1517694505990).
Almost surely, 2128553263123400 is an apocalyptic number.
128553263123400 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 128553263123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218548008862560).
128553263123400 is an abundant number, since it is smaller than the sum of its proper divisors (308542754601720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128553263123400 is a wasteful number, since it uses less digits than its factorization.
128553263123400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2734277 (or 2734265 counting only the distinct ones).
The product of its (nonzero) digits is 1036800, while the sum is 45.
The spelling of 128553263123400 in words is "one hundred twenty-eight trillion, five hundred fifty-three billion, two hundred sixty-three million, one hundred twenty-three thousand, four hundred".
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