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8308149696 = 2633711173673
BaseRepresentation
bin1111011110011010…
…00100110111000000
3210110000020201211000
413233031010313000
5114003341242241
63452224252000
7412612051530
oct75715046700
923400221730
108308149696
113583808920
12173a471000
13a25335512
1458b59d4c0
153395b8eb6
hex1ef344dc0

8308149696 has 448 divisors, whose sum is σ = 32251253760. Its totient is φ = 2030469120.

The previous prime is 8308149671. The next prime is 8308149697. The reversal of 8308149696 is 6969418038.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×83081496962 (a number of 21 digits) contains 22 as substring.

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 (8308149697) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2260116 + ... + 2263788.

Almost surely, 28308149696 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 8308149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125626880).

8308149696 is an abundant number, since it is smaller than the sum of its proper divisors (23943104064).

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

8308149696 is a wasteful number, since it uses less digits than its factorization.

8308149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 8308149696 is about 91149.0520850327. The cubic root of 8308149696 is about 2025.3563115123.

The spelling of 8308149696 in words is "eight billion, three hundred eight million, one hundred forty-nine thousand, six hundred ninety-six".