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66703278132 = 223210691733273
BaseRepresentation
bin111110000111110100…
…110100000000110100
320101011122222121122200
4332013310310000310
52043102014400012
650350522424500
74550653336431
oct760764640064
9211148877580
1066703278132
112631a297147
1210b16962130
1363a044245a
14332ac50b88
151b05ea93dc
hexf87d34034

66703278132 has 36 divisors (see below), whose sum is σ = 168768889380. Its totient is φ = 22213613952.

The previous prime is 66703278127. The next prime is 66703278133. The reversal of 66703278132 is 23187230766.

It can be written as a sum of positive squares in 2 ways, for example, as 45294906276 + 21408371856 = 212826^2 + 146316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66703278133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 828153 + ... + 905120.

It is an arithmetic number, because the mean of its divisors is an integer number (4688024705).

Almost surely, 266703278132 is an apocalyptic number.

It is an amenable number.

66703278132 is an abundant number, since it is smaller than the sum of its proper divisors (102065611248).

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

66703278132 is a wasteful number, since it uses less digits than its factorization.

66703278132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734352 (or 1734347 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 66703278132 in words is "sixty-six billion, seven hundred three million, two hundred seventy-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1069 2138 3207 4276 6414 9621 12828 19242 38484 1733273 3466546 5199819 6933092 10399638 15599457 20799276 31198914 62397828 1852868837 3705737674 5558606511 7411475348 11117213022 16675819533 22234426044 33351639066 66703278132