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1966819668 = 2231121499091
BaseRepresentation
bin111010100111011…
…0100100101010100
312002001220210100220
41311032310211110
513012001212133
6523055434340
766511456062
oct16516644524
95061823326
101966819668
1191a244800
1246a8259b0
1325462a928
141492dd032
15b7a0b5b3
hex753b4954

1966819668 has 72 divisors (see below), whose sum is σ = 5078791200. Its totient is φ = 591940800.

The previous prime is 1966819661. The next prime is 1966819703. The reversal of 1966819668 is 8669186691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966819661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211803 + ... + 220893.

Almost surely, 21966819668 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 1966819668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539395600).

1966819668 is an abundant number, since it is smaller than the sum of its proper divisors (3111971532).

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

1966819668 is a wasteful number, since it uses less digits than its factorization.

1966819668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9269 (or 9256 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The square root of 1966819668 is about 44348.8406612845. The cubic root of 1966819668 is about 1252.9147273821.

The spelling of 1966819668 in words is "one billion, nine hundred sixty-six million, eight hundred nineteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 149 242 298 363 447 484 596 726 894 1452 1639 1788 3278 4917 6556 9091 9834 18029 18182 19668 27273 36058 36364 54087 54546 72116 100001 108174 109092 200002 216348 300003 400004 600006 1100011 1200012 1354559 2200022 2709118 3300033 4063677 4400044 5418236 6600066 8127354 13200132 14900149 16254708 29800298 44700447 59600596 89400894 163901639 178801788 327803278 491704917 655606556 983409834 1966819668