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66060718900 = 225211241724847
BaseRepresentation
bin111101100001100001…
…101001001100110100
320022111212220020002121
4331201201221030310
52040243021001100
650203050245324
74526021563051
oct754141511464
9208455806077
1066060718900
112601a60a960
1210977726844
1362ca2951a7
1432a978a028
151ab988151a
hexf61869334

66060718900 has 72 divisors (see below), whose sum is σ = 156454736256. Its totient is φ = 24011174400.

The previous prime is 66060718877. The next prime is 66060718901. The reversal of 66060718900 is 981706066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66060718901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2646277 + ... + 2671123.

It is an arithmetic number, because the mean of its divisors is an integer number (2172982448).

Almost surely, 266060718900 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 66060718900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78227368128).

66060718900 is an abundant number, since it is smaller than the sum of its proper divisors (90394017356).

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

66060718900 is a wasteful number, since it uses less digits than its factorization.

66060718900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27289 (or 27282 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 66060718900 in words is "sixty-six billion, sixty million, seven hundred eighteen thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2417 4834 9668 12085 24170 24847 26587 48340 49694 53174 60425 99388 106348 120850 124235 132935 241700 248470 265870 273317 496940 531740 546634 621175 664675 1093268 1242350 1329350 1366585 2484700 2658700 2733170 5466340 6832925 13665850 27331700 60055199 120110398 240220796 300275995 600551990 660607189 1201103980 1321214378 1501379975 2642428756 3002759950 3303035945 6005519900 6606071890 13212143780 16515179725 33030359450 66060718900