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13176260020 = 22571110184713
BaseRepresentation
bin11000100010101110…
…11100010110110100
31021000021110100202101
430101113130112310
5203441110310040
610015244551444
7644343235150
oct142127342664
937007410671
1013176260020
1156517231a0
122678852584
13131ca66481
148cdd2c060
15521b6c09a
hex3115dc5b4

13176260020 has 96 divisors (see below), whose sum is σ = 34839818496. Its totient is φ = 4066176000.

The previous prime is 13176260003. The next prime is 13176260029. The reversal of 13176260020 is 2006267131.

13176260020 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 2×131762600202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13176260029) 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 31 ways as a sum of consecutive naturals, for example, 113184 + ... + 197896.

It is an arithmetic number, because the mean of its divisors is an integer number (362914776).

Almost surely, 213176260020 is an apocalyptic number.

13176260020 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 13176260020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17419909248).

13176260020 is an abundant number, since it is smaller than the sum of its proper divisors (21663558476).

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

13176260020 is a wasteful number, since it uses less digits than its factorization.

13176260020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84841 (or 84839 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 13176260020 in words is "thirteen billion, one hundred seventy-six million, two hundred sixty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 84713 155540 169426 338852 423565 592991 847130 931843 1185982 1694260 1863686 2371964 2964955 3727372 4659215 5929910 6522901 8556013 9318430 11859820 13045802 17112026 18636860 26091604 32614505 34224052 42780065 59892091 65229010 85560130 94116143 119784182 130458020 171120260 188232286 239568364 299460455 376464572 470580715 598920910 658813001 941161430 1197841820 1317626002 1882322860 2635252004 3294065005 6588130010 13176260020