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146553220453220 = 225723451271008563
BaseRepresentation
bin100001010100101000010100…
…101001010101001101100100
3201012220100110220122221122222
4201110220110221111031210
5123202111443414000340
61235405341532211512
742604056265050050
oct4124502451251544
9635810426587588
10146553220453220
1142772965347329
121452abb5009b98
1363a0ba8c0b2a9
1428292dc620c60
1511e22bb53a8b5
hex854a14a55364

146553220453220 has 96 divisors (see below), whose sum is σ = 367028736012288. Its totient is φ = 48061061465472.

The previous prime is 146553220453163. The next prime is 146553220453261. The reversal of 146553220453220 is 22354022355641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144804659 + ... + 145813221.

It is an arithmetic number, because the mean of its divisors is an integer number (3823216000128).

Almost surely, 2146553220453220 is an apocalyptic number.

146553220453220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146553220453220 is an abundant number, since it is smaller than the sum of its proper divisors (220475515559068).

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

146553220453220 is a wasteful number, since it uses less digits than its factorization.

146553220453220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053729 (or 1053727 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 146553220453220 in words is "one hundred forty-six trillion, five hundred fifty-three billion, two hundred twenty million, four hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 45127 90254 180508 225635 315889 451270 631778 902540 1008563 1037921 1263556 1579445 2017126 2075842 3158890 4034252 4151684 5042815 5189605 6317780 7059941 7265447 10085630 10379210 14119882 14530894 20171260 20758420 23196949 28239764 29061788 35299705 36327235 46393898 70599410 72654470 92787796 115984745 141198820 145308940 162378643 231969490 324757286 463938980 649514572 811893215 1623786430 3247572860 45513422501 91026845002 182053690004 227567112505 318593957507 455134225010 637187915014 910268450020 1046808717523 1274375830028 1592969787535 2093617435046 3185939575070 4187234870092 5234043587615 6371879150140 7327661022661 10468087175230 14655322045322 20936174350460 29310644090644 36638305113305 73276610226610 146553220453220