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66210150006 = 233711131224889
BaseRepresentation
bin111101101010011011…
…101011011001110110
320022220022002010001000
4331222123223121312
52041044244300011
650225545144130
74532514663210
oct755233533166
9208808063030
1066210150006
11260969a3740
12109b978b046
136322225170
1432c15675b0
151ac7a4c356
hexf6a6eb676

66210150006 has 128 divisors (see below), whose sum is σ = 197550259200. Its totient is φ = 15874548480.

The previous prime is 66210150001. The next prime is 66210150007. The reversal of 66210150006 is 60005101266.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66210150001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558391 + ... + 666498.

It is an arithmetic number, because the mean of its divisors is an integer number (1543361400).

Almost surely, 266210150006 is an apocalyptic number.

66210150006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66210150006 is an abundant number, since it is smaller than the sum of its proper divisors (131340109194).

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

66210150006 is a wasteful number, since it uses less digits than its factorization.

66210150006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224931 (or 1224925 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 66210150006 in words is "sixty-six billion, two hundred ten million, one hundred fifty thousand, six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1001 1287 1386 1638 2002 2079 2457 2574 3003 3861 4158 4914 6006 7722 9009 18018 27027 54054 1224889 2449778 3674667 7349334 8574223 11024001 13473779 15923557 17148446 22048002 25722669 26947558 31847114 33072003 40421337 47770671 51445338 66144006 77168007 80842674 94316453 95541342 111464899 121264011 143312013 154336014 175159127 188632906 222929798 231504021 242528022 282949359 286624026 334394697 350318254 363792033 429936039 463008042 525477381 565898718 668789394 727584066 848848077 859872078 1003184091 1050954762 1226113889 1576432143 1697696154 2006368182 2452227778 2546544231 3009552273 3152864286 3678341667 4729296429 5093088462 6019104546 7356683334 9458592858 11035025001 22070050002 33105075003 66210150006