Search a number
-
+
536421023460 = 223257601708371
BaseRepresentation
bin1111100111001010010…
…11110011111011100100
31220021121002210101220100
413303211023303323210
532242042240222320
61050232312104100
753520004316250
oct7634513637344
91807532711810
10536421023460
11197549757493
1287b66395030
133b7798a142a
141bd6a355260
15de4830c790
hex7ce52f3ee4

536421023460 has 144 divisors (see below), whose sum is σ = 1862689675392. Its totient is φ = 122406336000.

The previous prime is 536421023449. The next prime is 536421023471. The reversal of 536421023460 is 64320124635.

536421023460 is a `hidden beast` number, since 5 + 3 + 642 + 1 + 0 + 2 + 3 + 4 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (536421023449) and next prime (536421023471).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403075 + ... + 1111445.

It is an arithmetic number, because the mean of its divisors is an integer number (12935344968).

Almost surely, 2536421023460 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 536421023460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931344837696).

536421023460 is an abundant number, since it is smaller than the sum of its proper divisors (1326268651932).

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

536421023460 is a wasteful number, since it uses less digits than its factorization.

536421023460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708994 (or 708989 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 536421023460 in words is "five hundred thirty-six billion, four hundred twenty-one million, twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 601 630 1202 1260 1803 2404 3005 3606 4207 5409 6010 7212 8414 9015 10818 12020 12621 16828 18030 21035 21636 25242 27045 36060 37863 42070 50484 54090 63105 75726 84140 108180 126210 151452 189315 252420 378630 708371 757260 1416742 2125113 2833484 3541855 4250226 4958597 6375339 7083710 8500452 9917194 10625565 12750678 14167420 14875791 19834388 21251130 24792985 25501356 29751582 31876695 42502260 44627373 49585970 59503164 63753390 74378955 89254746 99171940 127506780 148757910 178509492 223136865 297515820 425730971 446273730 851461942 892547460 1277192913 1702923884 2128654855 2554385826 2980116797 3831578739 4257309710 5108771652 5960233594 6385964565 7663157478 8514619420 8940350391 11920467188 12771929130 14900583985 15326314956 17880700782 19157893695 25543858260 26821051173 29801167970 35761401564 38315787390 44701751955 53642102346 59602335940 76631574780 89403503910 107284204692 134105255865 178807007820 268210511730 536421023460