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8682450816 = 273132118243
BaseRepresentation
bin10000001011000001…
…11010111110000000
3211102002120012102110
420011200322332000
5120240201411231
63553315015320
7425105420454
oct100540727600
924362505373
108682450816
113756020896
12182389a540
13a84a49780
145c5194664
1535c3a3046
hex20583af80

8682450816 has 128 divisors (see below), whose sum is σ = 24957555840. Its totient is φ = 2658539520.

The previous prime is 8682450787. The next prime is 8682450827. The reversal of 8682450816 is 6180542868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049191 + ... + 1057433.

It is an arithmetic number, because the mean of its divisors is an integer number (194980905).

Almost surely, 28682450816 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 8682450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478777920).

8682450816 is an abundant number, since it is smaller than the sum of its proper divisors (16275105024).

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

8682450816 is a wasteful number, since it uses less digits than its factorization.

8682450816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 8682450816 is about 93179.6695422344. The cubic root of 8682450816 is about 2055.3262893787.

The spelling of 8682450816 in words is "eight billion, six hundred eighty-two million, four hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 211 312 384 416 422 624 633 832 844 1248 1266 1664 1688 2496 2532 2743 3376 4992 5064 5486 6752 8229 8243 10128 10972 13504 16458 16486 20256 21944 24729 27008 32916 32972 40512 43888 49458 65832 65944 81024 87776 98916 107159 131664 131888 175552 197832 214318 263328 263776 321477 351104 395664 428636 526656 527552 642954 791328 857272 1053312 1055104 1285908 1582656 1714544 1739273 2571816 3165312 3429088 3478546 5143632 5217819 6858176 6957092 10287264 10435638 13716352 13914184 20574528 20871276 22610549 27828368 41149056 41742552 45221098 55656736 67831647 83485104 90442196 111313472 135663294 166970208 180884392 222626944 271326588 333940416 361768784 542653176 667880832 723537568 1085306352 1447075136 2170612704 2894150272 4341225408 8682450816