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80384292352 = 297137921839
BaseRepresentation
bin100101011011101000…
…1101111011000000000
321200111010020011000001
41022313101233120000
52304111334323402
6100532242205344
75543666132320
oct1126721573000
9250433204001
1080384292352
11310aa923671
12136b4653854
137770936940
143c67c11280
1521570cd187
hex12b746f600

80384292352 has 160 divisors (see below), whose sum is σ = 200187187200. Its totient is φ = 31396405248.

The previous prime is 80384292337. The next prime is 80384292367. The reversal of 80384292352 is 25329248308.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80384292337) and next prime (80384292367).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3669849 + ... + 3691687.

It is an arithmetic number, because the mean of its divisors is an integer number (1251169920).

Almost surely, 280384292352 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 80384292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100093593600).

80384292352 is an abundant number, since it is smaller than the sum of its proper divisors (119802894848).

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

80384292352 is a wasteful number, since it uses less digits than its factorization.

80384292352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21956 (or 21940 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 80384292352 in words is "eighty billion, three hundred eighty-four million, two hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 79 91 104 112 128 158 182 208 224 256 316 364 416 448 512 553 632 728 832 896 1027 1106 1264 1456 1664 1792 2054 2212 2528 2912 3328 3584 4108 4424 5056 5824 6656 7189 8216 8848 10112 11648 14378 16432 17696 20224 21839 23296 28756 32864 35392 40448 43678 46592 57512 65728 70784 87356 115024 131456 141568 152873 174712 230048 262912 283136 283907 305746 349424 460096 525824 567814 611492 698848 920192 1135628 1222984 1397696 1725281 1840384 1987349 2271256 2445968 2795392 3450562 3680768 3974698 4542512 4891936 5590784 6901124 7949396 9085024 9783872 11181568 12076967 13802248 15898792 18170048 19567744 22428653 24153934 27604496 31797584 36340096 39135488 44857306 48307868 55208992 63595168 72680192 78270976 89714612 96615736 110417984 127190336 145360384 157000571 179429224 193231472 220835968 254380672 314001142 358858448 386462944 441671936 508761344 628002284 717716896 772925888 883343872 1017522688 1256004568 1435433792 1545851776 2512009136 2870867584 3091703552 5024018272 5741735168 6183407104 10048036544 11483470336 20096073088 40192146176 80384292352