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66579671120 = 24516316373119
BaseRepresentation
bin111110000000011101…
…010010100001010000
320100212001101201201012
4332000131102201100
52042323343433440
650330345230052
74544622603224
oct760035224120
9210761351635
1066579671120
1126266541396
1210aa1492328
136380954801
143318676784
151aea1dee65
hexf80752850

66579671120 has 80 divisors (see below), whose sum is σ = 155892522240. Its totient is φ = 26443832832.

The previous prime is 66579671117. The next prime is 66579671189. The reversal of 66579671120 is 2117697566.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21344921 + ... + 21348039.

It is an arithmetic number, because the mean of its divisors is an integer number (1948656528).

Almost surely, 266579671120 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 66579671120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77946261120).

66579671120 is an abundant number, since it is smaller than the sum of its proper divisors (89312851120).

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

66579671120 is a wasteful number, since it uses less digits than its factorization.

66579671120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

The spelling of 66579671120 in words is "sixty-six billion, five hundred seventy-nine million, six hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 1637 2608 3119 3260 3274 6238 6520 6548 8185 12476 13040 13096 15595 16370 24952 26192 31190 32740 49904 62380 65480 124760 130960 249520 266831 508397 533662 1016794 1067324 1334155 2033588 2134648 2541985 2668310 4067176 4269296 5083970 5105803 5336620 8134352 10167940 10211606 10673240 20335880 20423212 21346480 25529015 40671760 40846424 51058030 81692848 102116060 204232120 408464240 832245889 1664491778 3328983556 4161229445 6657967112 8322458890 13315934224 16644917780 33289835560 66579671120