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132714053505 = 3451137277993
BaseRepresentation
bin111101110011001011…
…1111011111110000001
3110200120001220110010000
41323212113323332001
54133244244203010
6140545030430213
712405530561535
oct1734627737601
9420501813100
10132714053505
1151313694760
1221879802369
13c69026bb57
1465cdb19bc5
1536bb2727c0
hex1ee65fbf81

132714053505 has 80 divisors (see below), whose sum is σ = 259631817984. Its totient is φ = 64320894720.

The previous prime is 132714053489. The next prime is 132714053513. The reversal of 132714053505 is 505350417231.

132714053505 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 140 + 5 + 3 + 505 = 666.

It is not a de Polignac number, because 132714053505 - 24 = 132714053489 is a prime.

It is a super-2 number, since 2×1327140535052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132714053505.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16599789 + ... + 16607781.

Almost surely, 2132714053505 is an apocalyptic number.

132714053505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132714053505 is a deficient number, since it is larger than the sum of its proper divisors (126917764479).

132714053505 is a wasteful number, since it uses less digits than its factorization.

132714053505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11748 (or 11739 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 132714053505 in words is "one hundred thirty-two billion, seven hundred fourteen million, fifty-three thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 3727 4455 7993 11181 18635 23979 33543 39965 40997 55905 71937 87923 100629 119895 122991 167715 204985 215811 263769 301887 359685 368973 439615 503145 614955 647433 791307 1079055 1106919 1318845 1509435 1844865 2373921 3237165 3320757 3956535 5534595 7121763 11869605 16603785 29789911 35608815 89369733 148949555 268109199 327689021 446848665 804327597 983067063 1340545995 1638445105 2412982791 2949201189 4021637985 4915335315 8847603567 12064913955 14746005945 26542810701 44238017835 132714053505