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45232452104120 = 23547211257443687
BaseRepresentation
bin10100100100011100000000…
…01111010110111110111000
312221011011212100200112002022
422102032000033112332320
521412042030214312440
6240111300204054012
712345636221065301
oct1222160017267670
9187134770615068
1045232452104120
1113459a80006996
1250a6428834308
131c3152c072968
14b25395cd17a8
155368ee905cb5
hex2923803d6fb8

45232452104120 has 128 divisors (see below), whose sum is σ = 104837582223360. Its totient is φ = 17555483688960.

The previous prime is 45232452104089. The next prime is 45232452104131. The reversal of 45232452104120 is 2140125423254.

It is a super-3 number, since 3×452324521041203 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101724917 + ... + 102168603.

It is an arithmetic number, because the mean of its divisors is an integer number (819043611120).

Almost surely, 245232452104120 is an apocalyptic number.

45232452104120 is a gapful number since it is divisible by the number (40) 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 45232452104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52418791111680).

45232452104120 is an abundant number, since it is smaller than the sum of its proper divisors (59605130119240).

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

45232452104120 is a wasteful number, since it uses less digits than its factorization.

45232452104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444213 (or 444209 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 45232452104120 its reverse (2140125423254), we get a palindrome (47372577527374).

The spelling of 45232452104120 in words is "forty-five trillion, two hundred thirty-two billion, four hundred fifty-two million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 211 235 257 376 422 470 514 844 940 1028 1055 1285 1688 1880 2056 2110 2570 4220 5140 8440 9917 10280 12079 19834 24158 39668 48316 49585 54227 60395 79336 96632 99170 108454 120790 198340 216908 241580 271135 396680 433816 443687 483160 542270 887374 1084540 1774748 2169080 2218435 2548669 3549496 4436870 5097338 8873740 10194676 12743345 17747480 20389352 20853289 25486690 41706578 50973380 83413156 93617957 101946760 104266445 114027559 166826312 187235914 208532890 228055118 374471828 417065780 456110236 468089785 570137795 748943656 834131560 912220472 936179570 1140275590 1872359140 2280551180 3744718280 4400043979 4561102360 5359295273 8800087958 10718590546 17600175916 21437181092 22000219895 24059814949 26796476365 35200351832 42874362184 44000439790 48119629898 53592952730 88000879580 96239259796 107185905460 120299074745 176001759160 192478519592 214371810920 240598149490 481196298980 962392597960 1130811302603 2261622605206 4523245210412 5654056513015 9046490420824 11308113026030 22616226052060 45232452104120