Search a number
-
+
89470417200 = 24352292570989
BaseRepresentation
bin101001101010011011…
…0100011100100110000
322112221100101010002120
41103110312203210300
52431213411322300
6105034021314240
76315105666243
oct1232466434460
9275840333076
1089470417200
1134a4279975a
121540b565980
13858b1b0088
14448a84525a
1524d9b1d3a0
hex14d4da3930

89470417200 has 120 divisors (see below), whose sum is σ = 296486566800. Its totient is φ = 23036052480.

The previous prime is 89470417147. The next prime is 89470417217. The reversal of 89470417200 is 271407498.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 1250695 + ... + 1320294.

It is an arithmetic number, because the mean of its divisors is an integer number (2470721390).

Almost surely, 289470417200 is an apocalyptic number.

89470417200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89470417200 is an abundant number, since it is smaller than the sum of its proper divisors (207016149600).

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

89470417200 is a wasteful number, since it uses less digits than its factorization.

89470417200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571039 (or 2571028 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 89470417200 in words is "eighty-nine billion, four hundred seventy million, four hundred seventeen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 2570989 5141978 7712967 10283956 12854945 15425934 20567912 25709890 30851868 38564835 41135824 51419780 61703736 64274725 74558681 77129670 102839560 123407472 128549450 149117362 154259340 192824175 205679120 223676043 257098900 298234724 308518680 372793405 385648350 447352086 514197800 596469448 617037360 745586810 771296700 894704172 1028395600 1118380215 1192938896 1491173620 1542593400 1789408344 1863967025 2236760430 2982347240 3085186800 3578816688 3727934050 4473520860 5591901075 5964694480 7455868100 8947041720 11183802150 14911736200 17894083440 22367604300 29823472400 44735208600 89470417200