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8231129964 = 22323714934139
BaseRepresentation
bin1111010101001110…
…10001001101101100
3210020122022201121100
413222213101031230
5113324132124324
63440433403100
7410655310311
oct75247211554
923218281540
108231129964
113544292852
121718709490
13a123a9805
14581270d08
153329534c9
hex1ea9d136c

8231129964 has 72 divisors (see below), whose sum is σ = 21388283280. Its totient is φ = 2667123072.

The previous prime is 8231129941. The next prime is 8231129993. The reversal of 8231129964 is 4699211328.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1986607 + ... + 1990745.

It is an arithmetic number, because the mean of its divisors is an integer number (297059490).

Almost surely, 28231129964 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 8231129964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694141640).

8231129964 is an abundant number, since it is smaller than the sum of its proper divisors (13157153316).

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

8231129964 is a wasteful number, since it uses less digits than its factorization.

8231129964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5674 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 8231129964 is about 90725.5750271113. The cubic root of 8231129964 is about 2019.0782616244.

The spelling of 8231129964 in words is "eight billion, two hundred thirty-one million, one hundred twenty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1493 2986 4139 4479 5972 8278 8958 12417 13437 16556 17916 24834 26874 37251 49668 53748 55241 74502 110482 149004 153143 165723 220964 306286 331446 459429 497169 612572 662892 918858 994338 1378287 1837716 1988676 2756574 5513148 6179527 12359054 18538581 24718108 37077162 55615743 74154324 111231486 222462972 228642499 457284998 685927497 914569996 1371854994 2057782491 2743709988 4115564982 8231129964