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42132447045 = 32513313762791
BaseRepresentation
bin100111001111010010…
…100001111101000101
311000202021122001220200
4213033102201331011
51142241401301140
631204432321113
73021036614403
oct471722417505
9130667561820
1042132447045
1116960739077
1281ba0a3199
133c85ac1150
1420798a2473
151168d0d030
hex9cf4a1f45

42132447045 has 96 divisors (see below), whose sum is σ = 83379738624. Its totient is φ = 19530201600.

The previous prime is 42132446981. The next prime is 42132447059. The reversal of 42132447045 is 54074423124.

42132447045 is a `hidden beast` number, since 42 + 132 + 447 + 0 + 45 = 666.

It is not a de Polignac number, because 42132447045 - 26 = 42132446981 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 639600 + ... + 702390.

It is an arithmetic number, because the mean of its divisors is an integer number (868538944).

Almost surely, 242132447045 is an apocalyptic number.

42132447045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42132447045 is a deficient number, since it is larger than the sum of its proper divisors (41247291579).

42132447045 is a wasteful number, since it uses less digits than its factorization.

42132447045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62883 (or 62880 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 42132447045 in words is "forty-two billion, one hundred thirty-two million, four hundred forty-seven thousand, forty-five".

Divisors: 1 3 5 9 13 15 31 37 39 45 65 93 111 117 155 185 195 279 333 403 465 481 555 585 1147 1209 1395 1443 1665 2015 2405 3441 3627 4329 5735 6045 7215 10323 14911 17205 18135 21645 44733 51615 62791 74555 134199 188373 223665 313955 565119 670995 816283 941865 1946521 2323267 2448849 2825595 4081415 5839563 6969801 7346547 9732605 11616335 12244245 17518689 20909403 25304773 29197815 30202471 34849005 36732735 72021277 75914319 87593445 90607413 104547015 126523865 151012355 216063831 227742957 271822239 360106385 379571595 453037065 648191493 936276601 1080319155 1138714785 1359111195 2808829803 3240957465 4681383005 8426489409 14044149015 42132447045