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66020000004 = 223271740138431
BaseRepresentation
bin111101011111000110…
…010100000100000100
320022102001021111021100
4331133012110010010
52040202110000004
650155033420100
74525015512060
oct753706240404
9208361244240
1066020000004
1125aa9629182
1210965b6a630
1362c1a0937a
1432a41caaa0
151ab5edb739
hexf5f194104

66020000004 has 144 divisors (see below), whose sum is σ = 202452397056. Its totient is φ = 17708544000.

The previous prime is 66020000003. The next prime is 66020000041. The reversal of 66020000004 is 40000002066.

66020000004 is a `hidden beast` number, since 660 + 2 + 0 + 0 + 0 + 0 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (66020000003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1698669 + ... + 1737099.

It is an arithmetic number, because the mean of its divisors is an integer number (1405919424).

Almost surely, 266020000004 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 66020000004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101226198528).

66020000004 is an abundant number, since it is smaller than the sum of its proper divisors (136432397052).

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

66020000004 is a wasteful number, since it uses less digits than its factorization.

66020000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38866 (or 38861 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 66020000004 in words is "sixty-six billion, twenty million, four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 401 476 612 714 802 1071 1203 1428 1604 2142 2406 2807 3609 4284 4812 5614 6817 7218 8421 11228 13634 14436 16842 20451 25263 27268 33684 38431 40902 47719 50526 61353 76862 81804 95438 101052 115293 122706 143157 153724 190876 230586 245412 269017 286314 345879 429471 461172 538034 572628 653327 691758 807051 858942 1076068 1306654 1383516 1614102 1717884 1959981 2421153 2613308 3228204 3919962 4573289 4842306 5879943 7839924 9146578 9684612 11759886 13719867 15410831 18293156 23519772 27439734 30821662 41159601 46232493 54879468 61643324 82319202 92464986 107875817 138697479 164638404 184929972 215751634 261984127 277394958 323627451 431503268 523968254 554789916 647254902 785952381 970882353 1047936508 1294509804 1571904762 1833888889 1941764706 2357857143 3143809524 3667777778 3883529412 4715714286 5501666667 7335555556 9431428572 11003333334 16505000001 22006666668 33010000002 66020000004