Search a number
-
+
421064296900 = 2252134113675779
BaseRepresentation
bin1100010000010010110…
…00110100100111000100
31111020211200202112010021
412020021120310213010
523344314430000100
6521233445104524
742264236320222
oct6101130644704
91436750675107
10421064296900
11152632900435
12697316b8144
1330924675b50
1416545971b12
15ae45ce6a1a
hex62096349c4

421064296900 has 144 divisors (see below), whose sum is σ = 1008906675840. Its totient is φ = 151540761600.

The previous prime is 421064296897. The next prime is 421064296931. The reversal of 421064296900 is 9692460124.

It is a super-2 number, since 2×4210642969002 (a number of 24 digits) contains 22 as substring.

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, 72858211 + ... + 72863989.

It is an arithmetic number, because the mean of its divisors is an integer number (7006296360).

Almost surely, 2421064296900 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 421064296900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504453337920).

421064296900 is an abundant number, since it is smaller than the sum of its proper divisors (587842378940).

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

421064296900 is a wasteful number, since it uses less digits than its factorization.

421064296900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 421064296900 in words is "four hundred twenty-one billion, sixty-four million, two hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 1367 2050 2132 2665 2734 4100 5330 5468 5779 6835 10660 11558 13325 13670 17771 23116 26650 27340 28895 34175 35542 53300 56047 57790 68350 71084 75127 88855 112094 115580 136700 144475 150254 177710 224188 236939 280235 288950 300508 355420 375635 444275 473878 560470 577900 728611 751270 888550 947756 1120940 1184695 1401175 1457222 1502540 1777100 1878175 2369390 2802350 2914444 3080207 3643055 3756350 4738780 5604700 5923475 6160414 7286110 7512700 7899893 11846950 12320828 14572220 15401035 15799786 18215275 23693900 30802070 31599572 36430550 39499465 61604140 72861100 77005175 78998930 102698609 154010350 157997860 197497325 205397218 308020700 323895613 394994650 410794436 513493045 647791226 789989300 1026986090 1295582452 1619478065 2053972180 2567465225 3238956130 4210642969 5134930450 6477912260 8097390325 8421285938 10269860900 16194780650 16842571876 21053214845 32389561300 42106429690 84212859380 105266074225 210532148450 421064296900