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106383208848 = 24372919356569
BaseRepresentation
bin110001100010011101…
…1101111000110010000
3101011121000202221122020
41203010323233012100
53220333100140343
6120512145211440
710454163232560
oct1430473570620
9334530687566
10106383208848
1141131603414
121874b630b80
13a0550bb0b7
145212b02da0
152b7981ab83
hex18c4eef190

106383208848 has 160 divisors (see below), whose sum is σ = 326603500800. Its totient is φ = 29194518528.

The previous prime is 106383208843. The next prime is 106383208903. The reversal of 106383208848 is 848802383601.

It is a happy number.

106383208848 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1063832088482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106383208848.

It is not an unprimeable number, because it can be changed into a prime (106383208843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1852308 + ... + 1908876.

It is an arithmetic number, because the mean of its divisors is an integer number (2041271880).

Almost surely, 2106383208848 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 106383208848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163301750400).

106383208848 is an abundant number, since it is smaller than the sum of its proper divisors (220220291952).

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

106383208848 is a wasteful number, since it uses less digits than its factorization.

106383208848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56809 (or 56803 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 106383208848 in words is "one hundred six billion, three hundred eighty-three million, two hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 193 203 232 336 348 386 406 464 579 609 696 772 812 1158 1218 1351 1392 1544 1624 2316 2436 2702 3088 3248 4053 4632 4872 5404 5597 8106 9264 9744 10808 11194 16212 16791 21616 22388 32424 33582 39179 44776 56569 64848 67164 78358 89552 113138 117537 134328 156716 169707 226276 235074 268656 313432 339414 395983 452552 470148 626864 678828 791966 905104 940296 1187949 1357656 1583932 1640501 1880592 2375898 2715312 3167864 3281002 4751796 4921503 6335728 6562004 9503592 9843006 10917817 11483507 13124008 19007184 19686012 21835634 22967014 26248016 32753451 34450521 39372024 43671268 45934028 65506902 68901042 76424719 78744048 87342536 91868056 131013804 137802084 152849438 174685072 183736112 229274157 262027608 275604168 305698876 316616693 458548314 524055216 551208336 611397752 633233386 917096628 949850079 1222795504 1266466772 1834193256 1899700158 2216316851 2532933544 3668386512 3799400316 4432633702 5065867088 6648950553 7598800632 8865267404 13297901106 15197601264 17730534808 26595802212 35461069616 53191604424 106383208848