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13004442675 = 355271032969
BaseRepresentation
bin11000001110010000…
…00000110000110011
31020120022011010200000
430013020000300303
5203113114131200
65550230201043
7640155640020
oct140710006063
936508133600
1013004442675
11557373a294
12262b1b3183
1312c3298bc3
148b51a4547
15511a2d300
hex307200c33

13004442675 has 144 divisors (see below), whose sum is σ = 27883215360. Its totient is φ = 5885187840.

The previous prime is 13004442667. The next prime is 13004442677. The reversal of 13004442675 is 57624440031.

It is not a de Polignac number, because 13004442675 - 23 = 13004442667 is a prime.

It is a super-2 number, since 2×130044426752 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13004442677) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4378591 + ... + 4381559.

It is an arithmetic number, because the mean of its divisors is an integer number (193633440).

Almost surely, 213004442675 is an apocalyptic number.

13004442675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13004442675 is an abundant number, since it is smaller than the sum of its proper divisors (14878772685).

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

13004442675 is a wasteful number, since it uses less digits than its factorization.

13004442675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13004442675 in words is "thirteen billion, four million, four hundred forty-two thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 103 105 135 175 189 225 243 309 315 405 515 525 567 675 721 927 945 1215 1545 1575 1701 2025 2163 2575 2781 2835 2969 3605 4635 4725 6075 6489 7725 8343 8505 8907 10815 13905 14175 14845 18025 19467 20783 23175 25029 26721 32445 41715 42525 44535 54075 58401 62349 69525 74225 80163 97335 103915 125145 133605 162225 175203 187047 208575 222675 240489 292005 305807 311745 400815 486675 519575 561141 625725 668025 721467 876015 917421 935235 1202445 1460025 1529035 1558725 1683423 2004075 2140649 2752263 2805705 3607335 4380075 4587105 4676175 5050269 6012225 6421947 7645175 8256789 8417115 10703245 13761315 14028525 18036675 19265841 22935525 24770367 25251345 32109735 41283945 42085575 53516225 57797523 68806575 74311101 96329205 123851835 126256725 160548675 173392569 206419725 288987615 371555505 481646025 520177707 619259175 866962845 1444938075 1857777525 2600888535 4334814225 13004442675