Search a number
-
+
9125913075552 = 25337131131317841
BaseRepresentation
bin1000010011001100101011…
…0011101001111101100000
31012022102120120110210121000
42010303022303221331200
52144004332221404202
631224215300432000
71631216430153060
oct204631263517540
935272516423530
109125913075552
1129a9307023449
1210347b59a8600
13512754129a20
142379a74913a0
1510c5bc84991c
hex84ccace9f60

9125913075552 has 768 divisors, whose sum is σ = 33306130851840. Its totient is φ = 2367022694400.

The previous prime is 9125913075497. The next prime is 9125913075571. The reversal of 9125913075552 is 2555703195219.

9125913075552 is a `hidden beast` number, since 9 + 1 + 2 + 5 + 9 + 13 + 0 + 75 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1163867152 + ... + 1163874992.

It is an arithmetic number, because the mean of its divisors is an integer number (43367357880).

Almost surely, 29125913075552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9125913075552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653065425920).

9125913075552 is an abundant number, since it is smaller than the sum of its proper divisors (24180217776288).

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

9125913075552 is a wasteful number, since it uses less digits than its factorization.

9125913075552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 54.

The spelling of 9125913075552 in words is "nine trillion, one hundred twenty-five billion, nine hundred thirteen million, seventy-five thousand, five hundred fifty-two".