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66876435440 = 24516310494889
BaseRepresentation
bin111110010010001001…
…010110101111110000
320101121201210220211022
4332102021112233300
52043430331413230
650420030035012
74555155215303
oct762211265760
9211551726738
1066876435440
11263a9005861
1210b64948a68
1363ca28b8b9
143345c46b3a
151b162b01e5
hexf92256bf0

66876435440 has 80 divisors (see below), whose sum is σ = 156622788000. Its totient is φ = 26555682816.

The previous prime is 66876435421. The next prime is 66876435469. The reversal of 66876435440 is 4453467866.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 13676516 + ... + 13681404.

It is an arithmetic number, because the mean of its divisors is an integer number (1957784850).

Almost surely, 266876435440 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 66876435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78311394000).

66876435440 is an abundant number, since it is smaller than the sum of its proper divisors (89746352560).

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

66876435440 is a wasteful number, since it uses less digits than its factorization.

66876435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 53.

The spelling of 66876435440 in words is "sixty-six billion, eight hundred seventy-six million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1049 1304 1630 2098 2608 3260 4196 4889 5245 6520 8392 9778 10490 13040 16784 19556 20980 24445 39112 41960 48890 78224 83920 97780 170987 195560 341974 391120 683948 796907 854935 1367896 1593814 1709870 2735792 3187628 3419740 3984535 5128561 6375256 6839480 7969070 10257122 12750512 13678960 15938140 20514244 25642805 31876280 41028488 51285610 63752560 82056976 102571220 205142440 410284880 835955443 1671910886 3343821772 4179777215 6687643544 8359554430 13375287088 16719108860 33438217720 66876435440