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13274158320 = 2432544341617
BaseRepresentation
bin11000101110011001…
…11001010011110000
31021021002200002222100
430113030321103300
5204141141031240
610033103140400
7646642325013
oct142714712360
937232602870
1013274158320
1156a1a09685
1226a55a4700
131337122467
148dcd3337a
1552a558e30
hex3173394f0

13274158320 has 120 divisors (see below), whose sum is σ = 44680751856. Its totient is φ = 3531700224.

The previous prime is 13274158307. The next prime is 13274158327. The reversal of 13274158320 is 2385147231.

13274158320 is a `hidden beast` number, since 1 + 3 + 2 + 74 + 1 + 583 + 2 + 0 = 666.

13274158320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13274158327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298152 + ... + 339768.

Almost surely, 213274158320 is an apocalyptic number.

13274158320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13274158320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22340375928).

13274158320 is an abundant number, since it is smaller than the sum of its proper divisors (31406593536).

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

13274158320 is a wasteful number, since it uses less digits than its factorization.

13274158320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42079 (or 42070 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13274158320 in words is "thirteen billion, two hundred seventy-four million, one hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 443 720 886 1329 1772 2215 2658 3544 3987 4430 5316 6645 7088 7974 8860 10632 13290 15948 17720 19935 21264 26580 31896 35440 39870 41617 53160 63792 79740 83234 106320 124851 159480 166468 208085 249702 318960 332936 374553 416170 499404 624255 665872 749106 832340 998808 1248510 1498212 1664680 1872765 1997616 2497020 2996424 3329360 3745530 4994040 5992848 7491060 9988080 14982120 18436331 29964240 36872662 55308993 73745324 92181655 110617986 147490648 165926979 184363310 221235972 276544965 294981296 331853958 368726620 442471944 553089930 663707916 737453240 829634895 884943888 1106179860 1327415832 1474906480 1659269790 2212359720 2654831664 3318539580 4424719440 6637079160 13274158320