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132752254725 = 3552191150117
BaseRepresentation
bin111101110100010100…
…1101010011100000101
3110200122201210021100000
41323220221222130011
54133334034122400
6140552513311513
712406503355416
oct1735051523405
9420581707300
10132752254725
1151333206912
122188a565599
13c698155a1c
1465d4c2180d
1536be7bb600
hex1ee8a6a705

132752254725 has 72 divisors (see below), whose sum is σ = 259558630240. Its totient is φ = 67074765120.

The previous prime is 132752254721. The next prime is 132752254729. The reversal of 132752254725 is 527452257231.

132752254725 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 522 + 54 + 72 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (132752254721) and next prime (132752254729).

It is not a de Polignac number, because 132752254725 - 22 = 132752254721 is a prime.

It is a super-2 number, since 2×1327522547252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132752254721) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 459634 + ... + 690483.

Almost surely, 2132752254725 is an apocalyptic number.

132752254725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132752254725 is a deficient number, since it is larger than the sum of its proper divisors (126806375515).

132752254725 is a wasteful number, since it uses less digits than its factorization.

132752254725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150161 (or 1150144 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The spelling of 132752254725 in words is "one hundred thirty-two billion, seven hundred fifty-two million, two hundred fifty-four thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 243 285 405 475 513 675 855 1215 1425 1539 2025 2565 4275 4617 6075 7695 12825 23085 38475 115425 1150117 3450351 5750585 10351053 17251755 21852223 28752925 31053159 51755265 65556669 86258775 93159477 109261115 155265795 196670007 258776325 279478431 327783345 465797385 546305575 590010021 776328975 983350035 1397392155 1638916725 1770030063 2328986925 2950050105 4916750175 5310090189 6986960775 8850150315 14750250525 26550450945 44250751575 132752254725