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8276136672 = 2534118111617
BaseRepresentation
bin1111011010100101…
…11101001011100000
3210100210000022012110
413231102331023200
5113422142333142
63445122155320
7412043000226
oct75522751340
923323008173
108276136672
113567732a81
12172b7b2b40
13a1b8071bb
14587228b16
1533689399c
hex1ed4bd2e0

8276136672 has 96 divisors (see below), whose sum is σ = 22379613984. Its totient is φ = 2676326400.

The previous prime is 8276136637. The next prime is 8276136683. The reversal of 8276136672 is 2766316728.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706608 + ... + 718224.

It is an arithmetic number, because the mean of its divisors is an integer number (233120979).

Almost surely, 28276136672 is an apocalyptic number.

8276136672 is a gapful number since it is divisible by the number (82) 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 8276136672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189806992).

8276136672 is an abundant number, since it is smaller than the sum of its proper divisors (14103477312).

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

8276136672 is a wasteful number, since it uses less digits than its factorization.

8276136672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852 (or 11844 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 8276136672 is about 90973.2744931169. The cubic root of 8276136672 is about 2022.7515904806.

The spelling of 8276136672 in words is "eight billion, two hundred seventy-six million, one hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 181 246 328 362 492 543 656 724 984 1086 1312 1448 1968 2172 2896 3936 4344 5792 7421 8688 11617 14842 17376 22263 23234 29684 34851 44526 46468 59368 69702 89052 92936 118736 139404 178104 185872 237472 278808 356208 371744 476297 557616 712416 952594 1115232 1428891 1905188 2102677 2857782 3810376 4205354 5715564 6308031 7620752 8410708 11431128 12616062 15241504 16821416 22862256 25232124 33642832 45724512 50464248 67285664 86209757 100928496 172419514 201856992 258629271 344839028 517258542 689678056 1034517084 1379356112 2069034168 2758712224 4138068336 8276136672