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13881532275 = 3352132396619
BaseRepresentation
bin11001110110110011…
…10101111101110011
31022211102112220102000
430323121311331303
5211412133013100
610213241225043
71000666035402
oct147331657563
938742486360
1013881532275
115983843726
122834a92183
131402c00530
14959879639
15563a31900
hex33b675f73

13881532275 has 96 divisors (see below), whose sum is σ = 27581568000. Its totient is φ = 6804362880.

The previous prime is 13881532267. The next prime is 13881532337. The reversal of 13881532275 is 57223518831.

13881532275 is a `hidden beast` number, since 1 + 38 + 81 + 532 + 2 + 7 + 5 = 666.

It is not a de Polignac number, because 13881532275 - 23 = 13881532267 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13881532275.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2093916 + ... + 2100534.

It is an arithmetic number, because the mean of its divisors is an integer number (287308000).

Almost surely, 213881532275 is an apocalyptic number.

13881532275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13881532275 is a deficient number, since it is larger than the sum of its proper divisors (13700035725).

13881532275 is a wasteful number, since it uses less digits than its factorization.

13881532275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6879 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 13881532275 in words is "thirteen billion, eight hundred eighty-one million, five hundred thirty-two thousand, two hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 239 325 351 585 675 717 975 1195 1755 2151 2925 3107 3585 5975 6453 6619 8775 9321 10755 15535 17925 19857 27963 32265 33095 46605 53775 59571 77675 83889 86047 99285 139815 161325 165475 178713 233025 258141 297855 419445 430235 496425 699075 774423 893565 1290705 1489275 1581941 2097225 2151175 2323269 3872115 4467825 4745823 6453525 7909705 11616345 14237469 19360575 20565233 23729115 39548525 42712407 58081725 61695699 71187345 102826165 118645575 185087097 213562035 308478495 355936725 514130825 555261291 925435485 1067810175 1542392475 2776306455 4627177425 13881532275