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13810287780 = 223552997987
BaseRepresentation
bin11001101110010100…
…00100010010100100
31022122110111022100000
430313022010102210
5211240413202110
610202214221300
7666142336452
oct146712042244
938573438300
1013810287780
115947602683
122815054830
1313c1217423
149502119d2
1555c65c1c0
hex3372844a4

13810287780 has 144 divisors (see below), whose sum is σ = 44941216320. Its totient is φ = 3555715968.

The previous prime is 13810287749. The next prime is 13810287787. The reversal of 13810287780 is 8778201831.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13810287787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91947 + ... + 189933.

It is an arithmetic number, because the mean of its divisors is an integer number (312091780).

Almost surely, 213810287780 is an apocalyptic number.

13810287780 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 13810287780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470608160).

13810287780 is an abundant number, since it is smaller than the sum of its proper divisors (31130928540).

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

13810287780 is a wasteful number, since it uses less digits than its factorization.

13810287780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98040 (or 98026 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 13810287780 in words is "thirteen billion, eight hundred ten million, two hundred eighty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 870 972 1044 1215 1305 1566 1620 1740 2349 2430 2610 3132 3915 4698 4860 5220 7047 7830 9396 11745 14094 15660 23490 28188 35235 46980 70470 97987 140940 195974 293961 391948 489935 587922 881883 979870 1175844 1469805 1763766 1959740 2645649 2841623 2939610 3527532 4409415 5291298 5683246 5879220 7936947 8524869 8818830 10582596 11366492 13228245 14208115 15873894 17049738 17637660 23810841 25574607 26456490 28416230 31747788 34099476 39684735 42624345 47621682 51149214 52912980 56832460 76723821 79369470 85248690 95243364 102298428 119054205 127873035 153447642 158738940 170497380 230171463 238108410 255746070 306895284 383619105 460342926 476216820 511492140 690514389 767238210 920685852 1150857315 1381028778 1534476420 2301714630 2762057556 3452571945 4603429260 6905143890 13810287780