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13058475168480 = 253573886450943
BaseRepresentation
bin1011111000000110100111…
…0001100001001011100000
31201020101012120211212102020
42332001221301201023200
53202422224120342410
643434551454221440
72515305121340220
oct276015161411340
951211176755366
1013058475168480
114185082887315
12156a9a0ab4880
1373954153aa21
14332068190080
15179a330d7a70
hexbe069c612e0

13058475168480 has 96 divisors (see below), whose sum is σ = 47010510618624. Its totient is φ = 2984794323456.

The previous prime is 13058475168371. The next prime is 13058475168553. The reversal of 13058475168480 is 8486157485031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1943222112 + ... + 1943228831.

It is an arithmetic number, because the mean of its divisors is an integer number (489692818944).

Almost surely, 213058475168480 is an apocalyptic number.

13058475168480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13058475168480 is an abundant number, since it is smaller than the sum of its proper divisors (33952035450144).

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

13058475168480 is a wasteful number, since it uses less digits than its factorization.

13058475168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886450968 (or 3886450960 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 13058475168480 in words is "thirteen trillion, fifty-eight billion, four hundred seventy-five million, one hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 3886450943 7772901886 11659352829 15545803772 19432254715 23318705658 27205156601 31091607544 38864509430 46637411316 54410313202 58296764145 62183215088 77729018860 81615469803 93274822632 108820626404 116593528290 124366430176 136025783005 155458037720 163230939606 186549645264 217641252808 233187056580 272051566010 310916075440 326461879212 373099290528 408077349015 435282505616 466374113160 544103132020 621832150880 652923758424 816154698030 870565011232 932748226320 1088206264040 1305847516848 1632309396060 1865496452640 2176412528080 2611695033696 3264618792120 4352825056160 6529237584240 13058475168480