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9125693280 = 253451164013
BaseRepresentation
bin10000111111110111…
…10000011101100000
3212112222121020210000
420133323300131200
5122142134141110
64105311140000
7442100053524
oct103773603540
925488536700
109125693280
113963241480
121928214600
13b2581b712
14627db3d84
153862591c0
hex21fef0760

9125693280 has 240 divisors, whose sum is σ = 35134467984. Its totient is φ = 2212254720.

The previous prime is 9125693249. The next prime is 9125693287. The reversal of 9125693280 is 823965219.

9125693280 is a `hidden beast` number, since 9 + 1 + 2 + 569 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9125693287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110554 + ... + 174566.

Almost surely, 29125693280 is an apocalyptic number.

9125693280 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 9125693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567233992).

9125693280 is an abundant number, since it is smaller than the sum of its proper divisors (26008774704).

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

9125693280 is a wasteful number, since it uses less digits than its factorization.

9125693280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64051 (or 64034 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9125693280 is about 95528.4945971620. The cubic root of 9125693280 is about 2089.7225183532.

It can be divided in two parts, 912569 and 3280, that added together give a square (915849 = 9572).

The spelling of 9125693280 in words is "nine billion, one hundred twenty-five million, six hundred ninety-three thousand, two hundred eighty".