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132716305332 = 22331394527283
BaseRepresentation
bin111101110011010000…
…0100001101110110100
3110200120020010212001000
41323212200201232310
54133300333232312
6140545151003300
712405555660612
oct1734640415664
9420506125030
10132716305332
1151314992576
122187a509530
13c690879ab0
1465d01446b2
1536bb569adc
hex1ee6821bb4

132716305332 has 48 divisors (see below), whose sum is σ = 370546953280. Its totient is φ = 40835785824.

The previous prime is 132716305303. The next prime is 132716305343. The reversal of 132716305332 is 233503617231.

132716305332 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 16 + 305 + 332 = 666.

It is a super-2 number, since 2×1327163053322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 47262238 + ... + 47265045.

Almost surely, 2132716305332 is an apocalyptic number.

132716305332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132716305332 is an abundant number, since it is smaller than the sum of its proper divisors (237830647948).

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

132716305332 is a wasteful number, since it uses less digits than its factorization.

132716305332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94527309 (or 94527301 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 132716305332 in words is "one hundred thirty-two billion, seven hundred sixteen million, three hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 94527283 189054566 283581849 378109132 567163698 850745547 1134327396 1228854679 1701491094 2457709358 2552236641 3402982188 3686564037 4915418716 5104473282 7373128074 10208946564 11059692111 14746256148 22119384222 33179076333 44238768444 66358152666 132716305332