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9996176340 = 22325353157321
BaseRepresentation
bin10010100111101000…
…11000101111010100
3221210122120101001100
421103310120233110
5130433010120330
64331524430100
7502500045153
oct112364305724
927718511040
109996176340
11426a643267
121b2b848330
13c33c7bc57
146ab84959a
153d78a5060
hex253d18bd4

9996176340 has 72 divisors (see below), whose sum is σ = 30407825448. Its totient is φ = 2658078720.

The previous prime is 9996176329. The next prime is 9996176357. The reversal of 9996176340 is 436716999.

9996176340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2969378064 + 7026798276 = 54492^2 + 83826^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15121 + ... + 142200.

It is an arithmetic number, because the mean of its divisors is an integer number (422330909).

Almost surely, 29996176340 is an apocalyptic number.

9996176340 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 9996176340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203912724).

9996176340 is an abundant number, since it is smaller than the sum of its proper divisors (20411649108).

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

9996176340 is a wasteful number, since it uses less digits than its factorization.

9996176340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157689 (or 157684 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 9996176340 is about 99980.8798721035. The cubic root of 9996176340 is about 2154.1600608344.

The spelling of 9996176340 in words is "nine billion, nine hundred ninety-six million, one hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15885 21180 31770 63540 157321 314642 471963 629284 786605 943926 1415889 1573210 1887852 2359815 2831778 3146420 4719630 5663556 7079445 9439260 14158890 28317780 55534313 111068626 166602939 222137252 277671565 333205878 499808817 555343130 666411756 833014695 999617634 1110686260 1666029390 1999235268 2499044085 3332058780 4998088170 9996176340