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9131394432 = 273197120709
BaseRepresentation
bin10001000000100011…
…00000010110000000
3212120101022220021210
420200101200112000
5122200114110212
64110033250120
7442166400126
oct104021402600
925511286253
109131394432
113966485876
12192a103940
13b26a66694
14628a59916
153869d353c
hex220460580

9131394432 has 64 divisors (see below), whose sum is σ = 24378591600. Its totient is φ = 3028322304.

The previous prime is 9131394421. The next prime is 9131394457. The reversal of 9131394432 is 2344931319.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15294 + ... + 136002.

Almost surely, 29131394432 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 9131394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189295800).

9131394432 is an abundant number, since it is smaller than the sum of its proper divisors (15247197168).

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

9131394432 is a wasteful number, since it uses less digits than its factorization.

9131394432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120923 (or 120911 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 9131394432 is about 95558.3299979651. The cubic root of 9131394432 is about 2090.1576029439.

It can be divided in two parts, 91313 and 94432, that added together give a triangular number (185745 = T609).

The spelling of 9131394432 in words is "nine billion, one hundred thirty-one million, three hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 384 394 591 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 25216 37824 75648 120709 241418 362127 482836 724254 965672 1448508 1931344 2897016 3862688 5794032 7725376 11588064 15450752 23176128 23779673 46352256 47559346 71339019 95118692 142678038 190237384 285356076 380474768 570712152 760949536 1141424304 1521899072 2282848608 3043798144 4565697216 9131394432