Search a number
-
+
58280580276 = 223174321373109
BaseRepresentation
bin110110010001110010…
…110001010010110100
312120102200012020022020
4312101302301102310
51423324312032101
642435043033140
74132150521132
oct662162612264
9176380166266
1058280580276
1122797960626
12b36606b7b0
13565a471679
142b6c394752
1517b1815136
hexd91cb14b4

58280580276 has 96 divisors (see below), whose sum is σ = 147452215680. Its totient is φ = 17844793344.

The previous prime is 58280580271. The next prime is 58280580283. The reversal of 58280580276 is 67208508285.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58280580271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18744210 + ... + 18747318.

It is an arithmetic number, because the mean of its divisors is an integer number (1535960580).

Almost surely, 258280580276 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 58280580276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73726107840).

58280580276 is an abundant number, since it is smaller than the sum of its proper divisors (89171635404).

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

58280580276 is a wasteful number, since it uses less digits than its factorization.

58280580276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 58280580276 in words is "fifty-eight billion, two hundred eighty million, five hundred eighty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2137 2193 2924 3109 4274 4386 6218 6411 8548 8772 9327 12436 12822 18654 25644 36329 37308 52853 72658 91891 105706 108987 133687 145316 158559 183782 211412 217974 267374 275673 317118 367564 401061 435948 534748 551346 634236 802122 1102692 1562147 1604244 2272679 3124294 4545358 4686441 6248588 6643933 6818037 9090716 9372882 13287866 13636074 18745764 19931799 26575732 27272148 39863598 79727196 112946861 225893722 285689119 338840583 451787444 571378238 677681166 857067357 1142756476 1355362332 1714134714 3428269428 4856715023 9713430046 14570145069 19426860092 29140290138 58280580276