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166483980960 = 25351131531057
BaseRepresentation
bin1001101100001100110…
…1111111001010100000
3120220201112222111201220
42123003031333022200
510211424344342320
6204252013255040
715012425326533
oct2330315771240
9526645874656
10166483980960
116467295a010
1228323194480
131291269c34b
1480b4b08a1a
1544e5d26e40
hex26c337f2a0

166483980960 has 96 divisors (see below), whose sum is σ = 572099516352. Its totient is φ = 40359751680.

The previous prime is 166483980893. The next prime is 166483980973. The reversal of 166483980960 is 69089384661.

166483980960 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 166483980894 and 166483980903.

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 15 ways as a sum of consecutive naturals, for example, 15760249 + ... + 15770808.

It is an arithmetic number, because the mean of its divisors is an integer number (5959369962).

Almost surely, 2166483980960 is an apocalyptic number.

166483980960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166483980960 is an abundant number, since it is smaller than the sum of its proper divisors (405615535392).

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

166483980960 is a wasteful number, since it uses less digits than its factorization.

166483980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31531086 (or 31531078 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 166483980960 in words is "one hundred sixty-six billion, four hundred eighty-three million, nine hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 31531057 63062114 94593171 126124228 157655285 189186342 252248456 315310570 346841627 378372684 472965855 504496912 630621140 693683254 756745368 945931710 1008993824 1040524881 1261242280 1387366508 1513490736 1734208135 1891863420 2081049762 2522484560 2774733016 3026981472 3468416270 3783726840 4162099524 5044969120 5202624405 5549466032 6936832540 7567453680 8324199048 10405248810 11098932064 13873665080 15134907360 16648398096 20810497620 27747330160 33296796192 41620995240 55494660320 83241990480 166483980960