Search a number
-
+
10067205470000 = 24547143817221
BaseRepresentation
bin1001001001111111010000…
…1101001011011100110000
31022122102012212011212012212
42102133310031023130300
52304420114100020000
633224451011311252
72056221510410210
oct222376415133460
938572185155185
1010067205470000
113231529044368
1211671128ab528
1358044463c613
1426b380946240
15126d10049c35
hex927f434b730

10067205470000 has 100 divisors (see below), whose sum is σ = 27855670094736. Its totient is φ = 3451613280000.

The previous prime is 10067205469933. The next prime is 10067205470029. The reversal of 10067205470000 is 7450276001.

10067205470000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71838611 + ... + 71978610.

Almost surely, 210067205470000 is an apocalyptic number.

10067205470000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10067205470000 is an abundant number, since it is smaller than the sum of its proper divisors (17788464624736).

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

10067205470000 is an equidigital number, since it uses as much as digits as its factorization.

10067205470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143817256 (or 143817235 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 10067205470000 in words is "ten trillion, sixty-seven billion, two hundred five million, four hundred seventy thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 143817221 287634442 575268884 719086105 1006720547 1150537768 1438172210 2013441094 2301075536 2876344420 3595430525 4026882188 5033602735 5752688840 7190861050 8053764376 10067205470 11505377680 14381722100 16107528752 17977152625 20134410940 25168013675 28763444200 35954305250 40268821880 50336027350 57526888400 71908610500 80537643760 89885763125 100672054700 125840068375 143817221000 179771526250 201344109400 251680136750 287634442000 359543052500 402688218800 503360273500 629200341875 719086105000 1006720547000 1258400683750 1438172210000 2013441094000 2516801367500 5033602735000 10067205470000