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13432836060 = 22325788112101
BaseRepresentation
bin11001000001010100…
…01100111111011100
31021200011020202220200
430200222030333130
5210002301223220
610100532143500
7653610136230
oct144052147734
937604222820
1013432836060
115773538606
12272a767b90
131360c6c107
1491603a5c0
1553944e890
hex320a8cfdc

13432836060 has 144 divisors (see below), whose sum is σ = 46623874752. Its totient is φ = 3066624000.

The previous prime is 13432836041. The next prime is 13432836071. The reversal of 13432836060 is 6063823431.

13432836060 is a `hidden beast` number, since 1 + 3 + 43 + 2 + 8 + 3 + 606 + 0 = 666.

13432836060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134328360602 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1104010 + ... + 1116110.

It is an arithmetic number, because the mean of its divisors is an integer number (323776908).

Almost surely, 213432836060 is an apocalyptic number.

13432836060 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 13432836060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23311937376).

13432836060 is an abundant number, since it is smaller than the sum of its proper divisors (33191038692).

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

13432836060 is a wasteful number, since it uses less digits than its factorization.

13432836060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13004 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13432836060 in words is "thirteen billion, four hundred thirty-two million, eight hundred thirty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 881 1260 1762 2643 3524 4405 5286 6167 7929 8810 10572 12101 12334 13215 15858 17620 18501 24202 24668 26430 30835 31716 36303 37002 39645 48404 52860 55503 60505 61670 72606 74004 79290 84707 92505 108909 111006 121010 123340 145212 158580 169414 181515 185010 217818 222012 242020 254121 277515 338828 363030 370020 423535 435636 508242 544545 555030 726060 762363 847070 1016484 1089090 1110060 1270605 1524726 1694140 2178180 2541210 3049452 3811815 5082420 7623630 10660981 15247260 21321962 31982943 42643924 53304905 63965886 74626867 95948829 106609810 127931772 149253734 159914715 191897658 213219620 223880601 298507468 319829430 373134335 383795316 447761202 479744145 639658860 671641803 746268670 895522404 959488290 1119403005 1343283606 1492537340 1918976580 2238806010 2686567212 3358209015 4477612020 6716418030 13432836060