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406663438060 = 225115251503
BaseRepresentation
bin1011110101011110000…
…01111001111011101100
31102212200002000002121001
411322233001321323230
523130321320004220
6510452452450044
741244333122065
oct5725701717354
91385602002531
10406663438060
11147512a00000
1266992919924
132c46acb47b9
141597b14d56c
15a8a18d080a
hex5eaf079eec

406663438060 has 144 divisors (see below), whose sum is σ = 945009628416. Its totient is φ = 146995640000.

The previous prime is 406663438033. The next prime is 406663438141. The reversal of 406663438060 is 60834366604.

It is a self number, because there is not a number n which added to its sum of digits gives 406663438060.

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, 808475769 + ... + 808476271.

It is an arithmetic number, because the mean of its divisors is an integer number (6562566864).

Almost surely, 2406663438060 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 406663438060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472504814208).

406663438060 is an abundant number, since it is smaller than the sum of its proper divisors (538346190356).

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

406663438060 is an equidigital number, since it uses as much as digits as its factorization.

406663438060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 406663438060 in words is "four hundred six billion, six hundred sixty-three million, four hundred thirty-eight thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 251 484 502 503 605 1004 1006 1210 1255 1331 2012 2420 2510 2515 2662 2761 5020 5030 5324 5522 5533 6655 10060 11044 11066 13310 13805 14641 22132 26620 27610 27665 29282 30371 55220 55330 58564 60742 60863 73205 110660 121484 121726 126253 146410 151855 161051 243452 252506 292820 303710 304315 322102 334081 505012 607420 608630 631265 644204 668162 669493 805255 1217260 1262530 1336324 1338986 1388783 1610510 1670405 2525060 2677972 2777566 3221020 3340810 3347465 3674891 5555132 6681620 6694930 6943915 7349782 7364423 13389860 13887830 14699564 14728846 15276613 18374455 27775660 29457692 30553226 36748910 36822115 40423801 61106452 73497820 73644230 76383065 80847602 81008653 147288460 152766130 161695204 162017306 168042743 202119005 305532260 324034612 336085486 404238010 405043265 672170972 808476020 810086530 840213715 1620173060 1680427430 1848470173 3360854860 3696940346 7393880692 9242350865 18484701730 20333171903 36969403460 40666343806 81332687612 101665859515 203331719030 406663438060