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9409494530016 = 253671732511327
BaseRepresentation
bin1000100011101101000110…
…0101000011011111100000
31020022112112212000022000000
42020323101211003133200
52213131121044430031
632002355003300000
71660546021562640
oct210732145033740
936275485008000
109409494530016
112aa85a93a2449
12107b75881a600
13533408569719
142475c9c30520
15114b688d93e6
hex88ed19437e0

9409494530016 has 672 divisors, whose sum is σ = 32077355885568. Its totient is φ = 2660231808000.

The previous prime is 9409494530011. The next prime is 9409494530017. The reversal of 9409494530016 is 6100354949049.

It is a happy number.

9409494530016 is a `hidden beast` number, since 9 + 4 + 0 + 9 + 4 + 94 + 530 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9409494530011) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7090801545 + ... + 7090802871.

It is an arithmetic number, because the mean of its divisors is an integer number (47734160544).

Almost surely, 29409494530016 is an apocalyptic number.

9409494530016 is a gapful number since it is divisible by the number (96) 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 9409494530016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16038677942784).

9409494530016 is an abundant number, since it is smaller than the sum of its proper divisors (22667861355552).

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

9409494530016 is a wasteful number, since it uses less digits than its factorization.

9409494530016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 9409494530016 in words is "nine trillion, four hundred nine billion, four hundred ninety-four million, five hundred thirty thousand, sixteen".