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13817023332 = 22372432831931
BaseRepresentation
bin11001101111000111…
…10000101101100100
31022122221011111202220
430313203300231210
5211244124221312
610203014432340
7666253521600
oct146743605544
938587144686
1013817023332
115950393152
1228173626b0
1313c2735168
14951086500
1555d03cc8c
hex3378f0b64

13817023332 has 144 divisors (see below), whose sum is σ = 38531066112. Its totient is φ = 3840298560.

The previous prime is 13817023321. The next prime is 13817023369. The reversal of 13817023332 is 23332071831.

It is a junction number, because it is equal to n+sod(n) for n = 13817023293 and 13817023302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7154407 + ... + 7156337.

It is an arithmetic number, because the mean of its divisors is an integer number (267576848).

Almost surely, 213817023332 is an apocalyptic number.

13817023332 is a gapful number since it is divisible by the number (12) 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 13817023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265533056).

13817023332 is an abundant number, since it is smaller than the sum of its proper divisors (24714042780).

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

13817023332 is a wasteful number, since it uses less digits than its factorization.

13817023332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13817023332 in words is "thirteen billion, eight hundred seventeen million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 283 294 301 516 566 588 602 849 903 1132 1204 1698 1806 1931 1981 2107 3396 3612 3862 3962 4214 5793 5943 6321 7724 7924 8428 11586 11886 12169 12642 13517 13867 23172 23772 24338 25284 27034 27734 36507 40551 41601 48676 54068 55468 73014 81102 83033 83202 85183 94619 146028 162204 166066 166404 170366 189238 249099 255549 283857 332132 340732 378476 498198 511098 546473 567714 581231 596281 996396 1022196 1092946 1135428 1162462 1192562 1639419 1743693 1788843 2185892 2324924 2385124 3278838 3487386 3577686 3825311 4068617 6557676 6974772 7155372 7650622 8137234 11475933 12205851 15301244 16274468 22951866 23498339 24411702 26777177 45903732 46996678 48823404 53554354 70495017 80331531 93993356 107108708 140990034 160663062 164488373 281980068 321326124 328976746 493465119 657953492 986930238 1151418611 1973860476 2302837222 3454255833 4605674444 6908511666 13817023332