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58425032736 = 2532740172271
BaseRepresentation
bin110110011010011001…
…110100000000100000
312120210202000011211100
4312122121310000200
51424123302021421
642501243114400
74135553404260
oct663231640040
9176722004740
1058425032736
1122861453924
12b3a6512a00
13568137a4b5
142b836377a0
1517be34ac26
hexd9a674020

58425032736 has 144 divisors (see below), whose sum is σ = 190357509888. Its totient is φ = 16651008000.

The previous prime is 58425032719. The next prime is 58425032801. The reversal of 58425032736 is 63723052485.

58425032736 is a `hidden beast` number, since 58 + 42 + 503 + 27 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 58425032691 and 58425032700.

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, 772281 + ... + 844551.

It is an arithmetic number, because the mean of its divisors is an integer number (1321927152).

Almost surely, 258425032736 is an apocalyptic number.

58425032736 is a gapful number since it is divisible by the number (56) 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 58425032736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95178754944).

58425032736 is an abundant number, since it is smaller than the sum of its proper divisors (131932477152).

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

58425032736 is a wasteful number, since it uses less digits than its factorization.

58425032736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72695 (or 72684 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 58425032736 in words is "fifty-eight billion, four hundred twenty-five million, thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 401 504 672 802 1008 1203 1604 2016 2406 2807 3208 3609 4812 5614 6416 7218 8421 9624 11228 12832 14436 16842 19248 22456 25263 28872 33684 38496 44912 50526 57744 67368 72271 89824 101052 115488 134736 144542 202104 216813 269472 289084 404208 433626 505897 578168 650439 808416 867252 1011794 1156336 1300878 1517691 1734504 2023588 2312672 2601756 3035382 3469008 4047176 4553073 5203512 6070764 6938016 8094352 9106146 10407024 12141528 16188704 18212292 20814048 24283056 28980671 36424584 48566112 57961342 72849168 86942013 115922684 145698336 173884026 202864697 231845368 260826039 347768052 405729394 463690736 521652078 608594091 695536104 811458788 927381472 1043304156 1217188182 1391072208 1622917576 1825782273 2086608312 2434376364 2782144416 3245835152 3651564546 4173216624 4868752728 6491670304 7303129092 8346433248 9737505456 14606258184 19475010912 29212516368 58425032736