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66432620142 = 2327275320431
BaseRepresentation
bin111101110111101100…
…010101011001101110
320100110210200202200200
4331313230111121232
52042023222321032
650304013334330
74541155645200
oct756754253156
9210423622620
1066432620142
11261a0533859
1210a601973a6
136359348cb5
143302d18770
151adc34447c
hexf77b1566e

66432620142 has 36 divisors (see below), whose sum is σ = 167437320336. Its totient is φ = 18980748360.

The previous prime is 66432620123. The next prime is 66432620171. The reversal of 66432620142 is 24102623466.

66432620142 is a `hidden beast` number, since 6 + 643 + 2 + 6 + 2 + 0 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66432620097 and 66432620106.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 37659334 + ... + 37661097.

It is an arithmetic number, because the mean of its divisors is an integer number (4651036676).

Almost surely, 266432620142 is an apocalyptic number.

66432620142 is an abundant number, since it is smaller than the sum of its proper divisors (101004700194).

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

66432620142 is a wasteful number, since it uses less digits than its factorization.

66432620142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75320453 (or 75320443 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 66432620142 in words is "sixty-six billion, four hundred thirty-two million, six hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 75320431 150640862 225961293 451922586 527243017 677883879 1054486034 1355767758 1581729051 3163458102 3690701119 4745187153 7381402238 9490374306 11072103357 22144206714 33216310071 66432620142