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9134794080 = 2532523833323
BaseRepresentation
bin10001000000111100…
…11110010101100000
3212120121201121201200
420200132132111200
5122202001402310
64110234201200
7442240316466
oct104036362540
925517647650
109134794080
113968397aa5
12192b283200
13b27686bc9
146292a2836
15386e559c0
hex22079e560

9134794080 has 288 divisors, whose sum is σ = 32929618176. Its totient is φ = 2301268992.

The previous prime is 9134794069. The next prime is 9134794111. The reversal of 9134794080 is 804974319.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2747299 + ... + 2750621.

It is an arithmetic number, because the mean of its divisors is an integer number (114338952).

Almost surely, 29134794080 is an apocalyptic number.

9134794080 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 9134794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464809088).

9134794080 is an abundant number, since it is smaller than the sum of its proper divisors (23794824096).

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

9134794080 is a wasteful number, since it uses less digits than its factorization.

9134794080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9134794080 is about 95576.1166819410. The cubic root of 9134794080 is about 2090.4169615961.

The spelling of 9134794080 in words is "nine billion, one hundred thirty-four million, seven hundred ninety-four thousand, eighty".