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1966543168 = 26192471811
BaseRepresentation
bin111010100110111…
…0001000101000000
312002001101202002011
41311031301011000
513011413340133
6523045502304
766506225002
oct16515610500
95061352064
101966543168
1191a075a97
1246a711994
13254561b15
1414926a372
15b79a46cd
hex75371140

1966543168 has 84 divisors (see below), whose sum is σ = 4208507712. Its totient is φ = 911197440.

The previous prime is 1966543141. The next prime is 1966543169. The reversal of 1966543168 is 8613456691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966543169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1084983 + ... + 1086793.

Almost surely, 21966543168 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 1966543168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104253856).

1966543168 is an abundant number, since it is smaller than the sum of its proper divisors (2241964544).

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

1966543168 is a wasteful number, since it uses less digits than its factorization.

1966543168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1879 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 1966543168 is about 44345.7232210729. The cubic root of 1966543168 is about 1252.8560120928.

It can be divided in two parts, 196 and 6543168, that added together give a square (6543364 = 25582).

The spelling of 1966543168 in words is "one billion, nine hundred sixty-six million, five hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 361 376 608 722 752 893 1216 1444 1504 1786 1811 2888 3008 3572 3622 5776 7144 7244 11552 14288 14488 16967 23104 28576 28976 33934 34409 57152 57952 67868 68818 85117 115904 135736 137636 170234 271472 275272 340468 542944 550544 653771 680936 1085888 1101088 1307542 1361872 1617223 2202176 2615084 2723744 3234446 5230168 5447488 6468892 10460336 12937784 20920672 25875568 30727237 41841344 51751136 61454474 103502272 122908948 245817896 491635792 983271584 1966543168