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66877582128 = 2437673295751
BaseRepresentation
bin111110010010001101…
…101110101100110000
320101121210222011210020
4332102031232230300
52043431130112003
650420110403440
74555201032360
oct762215565460
9211553864706
1066877582128
11263a9719335
1210b65200580
1363ca5a0806
1433460649a0
151b16439d53
hexf9236eb30

66877582128 has 80 divisors (see below), whose sum is σ = 197742153216. Its totient is φ = 19079424000.

The previous prime is 66877582069. The next prime is 66877582133. The reversal of 66877582128 is 82128577866.

It is a super-2 number, since 2×668775821282 (a number of 22 digits) contains 22 as substring.

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, 78253 + ... + 374003.

Almost surely, 266877582128 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 66877582128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98871076608).

66877582128 is an abundant number, since it is smaller than the sum of its proper divisors (130864571088).

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

66877582128 is a wasteful number, since it uses less digits than its factorization.

66877582128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296442 (or 296436 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 60.

The spelling of 66877582128 in words is "sixty-six billion, eight hundred seventy-seven million, five hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 673 1346 2019 2692 4038 4711 5384 8076 9422 10768 14133 16152 18844 28266 32304 37688 56532 75376 113064 226128 295751 591502 887253 1183004 1774506 2070257 2366008 3549012 4140514 4732016 6210771 7098024 8281028 12421542 14196048 16562056 24843084 33124112 49686168 99372336 199040423 398080846 597121269 796161692 1194242538 1393282961 1592323384 2388485076 2786565922 3184646768 4179848883 4776970152 5573131844 8359697766 9553940304 11146263688 16719395532 22292527376 33438791064 66877582128