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5166413640 = 2332523623963
BaseRepresentation
bin1001100111111000…
…10011011101001000
3111100001112000011100
410303330103131020
541040100214030
62212354101400
7242012535303
oct46374233510
914301460140
105166413640
112211340043
12100227a860
136444866bb
1437021db3a
15203879360
hex133f13748

5166413640 has 96 divisors (see below), whose sum is σ = 17520909120. Its totient is φ = 1317807744.

The previous prime is 5166413627. The next prime is 5166413687. The reversal of 5166413640 is 463146615.

It is a happy number.

5166413640 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 4 + 1 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5166413595 and 5166413604.

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 23 ways as a sum of consecutive naturals, for example, 303702 + ... + 320261.

It is an arithmetic number, because the mean of its divisors is an integer number (182509470).

Almost surely, 25166413640 is an apocalyptic number.

It is an amenable number.

5166413640 is an abundant number, since it is smaller than the sum of its proper divisors (12354495480).

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

5166413640 is a wasteful number, since it uses less digits than its factorization.

5166413640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624003 (or 623996 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5166413640 is about 71877.7687466716. The cubic root of 5166413640 is about 1728.7401744838.

The spelling of 5166413640 in words is "five billion, one hundred sixty-six million, four hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 623963 1247926 1871889 2495852 3119815 3743778 4991704 5615667 6239630 7487556 9359445 11231334 12479260 14351149 14975112 18718890 22462668 24958520 28078335 28702298 37437780 43053447 44925336 56156670 57404596 71755745 74875560 86106894 112313340 114809192 129160341 143511490 172213788 215267235 224626680 258320682 287022980 344427576 430534470 516641364 574045960 645801705 861068940 1033282728 1291603410 1722137880 2583206820 5166413640