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66066042060 = 22325503729689
BaseRepresentation
bin111101100001110101…
…111100110011001100
320022112020220200002200
4331201311330303030
52040300401321220
650203400321500
74526115043344
oct754165746314
9208466820080
1066066042060
1126022616267
1210979473290
1362cb40a0a5
1432aa373d24
151aba083890
hexf61d7cccc

66066042060 has 72 divisors (see below), whose sum is σ = 200799012960. Its totient is φ = 17582562048.

The previous prime is 66066042041. The next prime is 66066042061. The reversal of 66066042060 is 6024066066.

66066042060 is a `hidden beast` number, since 6 + 606 + 6 + 0 + 42 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66066042061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274305 + ... + 455384.

It is an arithmetic number, because the mean of its divisors is an integer number (2788875180).

Almost surely, 266066042060 is an apocalyptic number.

66066042060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66066042060 is an abundant number, since it is smaller than the sum of its proper divisors (134732970900).

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

66066042060 is a wasteful number, since it uses less digits than its factorization.

66066042060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730207 (or 730202 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 66066042060 in words is "sixty-six billion, sixty-six million, forty-two thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 503 1006 1509 2012 2515 3018 4527 5030 6036 7545 9054 10060 15090 18108 22635 30180 45270 90540 729689 1459378 2189067 2918756 3648445 4378134 6567201 7296890 8756268 10945335 13134402 14593780 21890670 26268804 32836005 43781340 65672010 131344020 367033567 734067134 1101100701 1468134268 1835167835 2202201402 3303302103 3670335670 4404402804 5505503505 6606604206 7340671340 11011007010 13213208412 16516510515 22022014020 33033021030 66066042060