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8431677268 = 2272979131441
BaseRepresentation
bin1111101101001000…
…10010111101010100
3210202121200120210021
413312210102331110
5114232002133033
63512400034524
7415642034320
oct76644227524
923677616707
108431677268
113637509a23
121773902a44
13a44ac5c61
1459db56980
15345369b2d
hex1f6912f54

8431677268 has 48 divisors (see below), whose sum is σ = 17665804800. Its totient is φ = 3444779520.

The previous prime is 8431677263. The next prime is 8431677301. The reversal of 8431677268 is 8627761348.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8431677263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573 + ... + 129868.

It is an arithmetic number, because the mean of its divisors is an integer number (368037600).

Almost surely, 28431677268 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 8431677268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832902400).

8431677268 is an abundant number, since it is smaller than the sum of its proper divisors (9234127532).

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

8431677268 is a wasteful number, since it uses less digits than its factorization.

8431677268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131560 (or 131558 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The square root of 8431677268 is about 91824.1649458355. The cubic root of 8431677268 is about 2035.3447987137.

The spelling of 8431677268 in words is "eight billion, four hundred thirty-one million, six hundred seventy-seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 79 116 158 203 316 406 553 812 1106 2212 2291 4582 9164 16037 32074 64148 131441 262882 525764 920087 1840174 3680348 3811789 7623578 10383839 15247156 20767678 26682523 41535356 53365046 72686873 106730092 145373746 290747492 301131331 602262662 1204525324 2107919317 4215838634 8431677268