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132805304307 = 32132436730307
BaseRepresentation
bin111101110101111010…
…0000001111111110011
3110200210102121110200100
41323223310001333303
54133441124214212
6141002050323443
712411016314054
oct1735364017763
9420712543610
10132805304307
115136014a845
12218a4289583
13c6a613b200
1465dbcb072b
1536c4299bdc
hex1eebd01ff3

132805304307 has 72 divisors (see below), whose sum is σ = 215731374144. Its totient is φ = 78631705152.

The previous prime is 132805304287. The next prime is 132805304309. The reversal of 132805304307 is 703403508231.

132805304307 is a `hidden beast` number, since 1 + 3 + 2 + 80 + 530 + 43 + 0 + 7 = 666.

It is not a de Polignac number, because 132805304307 - 27 = 132805304179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132805304309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4366848 + ... + 4397154.

Almost surely, 2132805304307 is an apocalyptic number.

132805304307 is a deficient number, since it is larger than the sum of its proper divisors (82926069837).

132805304307 is a wasteful number, since it uses less digits than its factorization.

132805304307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30449 (or 30433 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 132805304307 in words is "one hundred thirty-two billion, eight hundred five million, three hundred four thousand, three hundred seven".

Divisors: 1 3 9 13 39 43 67 117 129 169 201 387 507 559 603 871 1521 1677 2613 2881 5031 7267 7839 8643 11323 21801 25929 30307 33969 37453 65403 90921 101907 112359 272763 337077 393991 486889 1181973 1303201 1460667 2030569 3545919 3909603 4382001 5121883 6091707 11728809 15365649 16941613 18275121 26397397 46096947 50824839 79192191 87314467 152474517 220240969 237576573 261943401 343166161 660722907 785830203 1029498483 1135088071 1982168721 3088495449 3405264213 10215792639 14756144923 44268434769 132805304307