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60066120132 = 22334771166667
BaseRepresentation
bin110111111100001110…
…000100000111000100
312202001010000001112000
4313330032010013010
51441003411321012
643332145225300
74224331411524
oct677416040704
9182033001460
1060066120132
11235238390a7
12b784032230
13588336aa25
142c9b585684
151868463ddc
hexdfc3841c4

60066120132 has 96 divisors (see below), whose sum is σ = 161281290240. Its totient is φ = 19319922720.

The previous prime is 60066120089. The next prime is 60066120151. The reversal of 60066120132 is 23102166006.

60066120132 is a `hidden beast` number, since 600 + 6 + 6 + 1 + 20 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 60066120096 and 60066120105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 277063 + ... + 443729.

It is an arithmetic number, because the mean of its divisors is an integer number (1680013440).

Almost surely, 260066120132 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 60066120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640645120).

60066120132 is an abundant number, since it is smaller than the sum of its proper divisors (101215170108).

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

60066120132 is a wasteful number, since it uses less digits than its factorization.

60066120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166798 (or 166790 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 60066120132 its reverse (23102166006), we get a palindrome (83168286138).

The spelling of 60066120132 in words is "sixty billion, sixty-six million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 71 94 108 141 142 188 213 282 284 423 426 564 639 846 852 1269 1278 1692 1917 2538 2556 3337 3834 5076 6674 7668 10011 13348 20022 30033 40044 60066 90099 120132 166667 180198 333334 360396 500001 666668 1000002 1500003 2000004 3000006 4500009 6000012 7833349 9000018 11833357 15666698 18000036 23500047 23666714 31333396 35500071 47000094 47333428 70500141 71000142 94000188 106500213 141000282 142000284 211500423 213000426 282000564 319500639 423000846 426000852 556167779 639001278 846001692 1112335558 1278002556 1668503337 2224671116 3337006674 5005510011 6674013348 10011020022 15016530033 20022040044 30033060066 60066120132