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9115485120 = 263357236553
BaseRepresentation
bin10000111110101001…
…10100001111000000
3212112021101121211000
420133110310033000
5122132031010440
64104304252000
7441614226240
oct103724641700
925467347730
109115485120
1139584a9985
121924911000
13b236861a1
146268b7b20
153853de730
hex21f5343c0

9115485120 has 448 divisors, whose sum is σ = 38355056640. Its totient is φ = 1992646656.

The previous prime is 9115485091. The next prime is 9115485133. The reversal of 9115485120 is 215845119.

9115485120 is a `hidden beast` number, since 91 + 1 + 54 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1387764 + ... + 1394316.

Almost surely, 29115485120 is an apocalyptic number.

9115485120 is a gapful number since it is divisible by the number (90) 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 9115485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177528320).

9115485120 is an abundant number, since it is smaller than the sum of its proper divisors (29239571520).

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

9115485120 is a wasteful number, since it uses less digits than its factorization.

9115485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 9115485120 is about 95475.0497250460. The cubic root of 9115485120 is about 2088.9430275860.

The spelling of 9115485120 in words is "nine billion, one hundred fifteen million, four hundred eighty-five thousand, one hundred twenty".