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66212148006 = 234547974597
BaseRepresentation
bin111101101010100011…
…010011001100100110
320022220102211121210000
4331222203103030212
52041100302214011
650230100042130
74532540654244
oct755243231446
9208812747700
1066212148006
1126098038884
12109ba393346
136322774704
1432c1927794
151ac7ce4356
hexf6a8d3326

66212148006 has 40 divisors (see below), whose sum is σ = 148393325520. Its totient is φ = 22066391952.

The previous prime is 66212147987. The next prime is 66212148007. The reversal of 66212148006 is 60084121266.

66212148006 is a `hidden beast` number, since 6 + 621 + 21 + 4 + 8 + 0 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66212148007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 850300 + ... + 924896.

It is an arithmetic number, because the mean of its divisors is an integer number (3709833138).

Almost surely, 266212148006 is an apocalyptic number.

66212148006 is an abundant number, since it is smaller than the sum of its proper divisors (82181177514).

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

66212148006 is a wasteful number, since it uses less digits than its factorization.

66212148006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80090 (or 80081 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 66212148006 in words is "sixty-six billion, two hundred twelve million, one hundred forty-eight thousand, six".

Divisors: 1 2 3 6 9 18 27 54 81 162 5479 10958 16437 32874 49311 74597 98622 147933 149194 223791 295866 443799 447582 671373 887598 1342746 2014119 4028238 6042357 12084714 408716963 817433926 1226150889 2452301778 3678452667 7356905334 11035358001 22070716002 33106074003 66212148006