Search a number
-
+
534152300552424 = 233273137897370161
BaseRepresentation
bin111100101110011110000011…
…0001000010110000011101000
32121001021110110020022210100200
41321130330012020112003220
51030003022402420134144
65132014102420232200
7220340141646033351
oct17134740610260350
92531243406283320
10534152300552424
1114521979a381734
124baaa36483b660
1319c08465987528
1495c9175c6ad28
1541b47d91e1c69
hex1e5cf062160e8

534152300552424 has 96 divisors (see below), whose sum is σ = 1466586325331400. Its totient is φ = 175598955786240.

The previous prime is 534152300552413. The next prime is 534152300552447. The reversal of 534152300552424 is 424255003251435.

534152300552424 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 52 + 3 + 0 + 0 + 552 + 42 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 440811776088324 + 93340524464100 = 20995518^2 + 9661290^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 534152300552424.

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, 68789904 + ... + 76160064.

Almost surely, 2534152300552424 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 534152300552424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733293162665700).

534152300552424 is an abundant number, since it is smaller than the sum of its proper divisors (932434024778976).

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

534152300552424 is a wasteful number, since it uses less digits than its factorization.

534152300552424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384035 (or 7384028 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 534152300552424 in words is "five hundred thirty-four trillion, one hundred fifty-two billion, three hundred million, five hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 13789 27578 41367 55156 82734 110312 124101 165468 248202 330936 496404 992808 1006597 2013194 3019791 4026388 6039582 7370161 8052776 9059373 12079164 14740322 18118746 22110483 24158328 29480644 36237492 44220966 58961288 66331449 72474984 88441932 132662898 176883864 265325796 530651592 538021753 1076043506 1614065259 2152087012 3228130518 4304174024 4842195777 6456261036 9684391554 12912522072 19368783108 38737566216 101627150029 203254300058 304881450087 406508600116 609762900174 813017200232 914644350261 1219525800348 1829288700522 2439051600696 3658577401044 7317154802088 7418781952117 14837563904234 22256345856351 29675127808468 44512691712702 59350255616936 66769037569053 89025383425404 133538075138106 178050766850808 267076150276212 534152300552424