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13884510762010 = 2572531812953793
BaseRepresentation
bin1100101000001011110101…
…0101001111010000011010
31211011100100102112210110201
43022002331111033100122
53304440434223341020
645310242311532414
72632060056130600
oct312027525172032
954140312483421
1013884510762010
11447342a3a1859
121682ab268a10a
137993c4440a35
1436002a233870
1519127be5ea0a
hexca0bd54f41a

13884510762010 has 96 divisors (see below), whose sum is σ = 29784664505232. Its totient is φ = 4644778844160.

The previous prime is 13884510761969. The next prime is 13884510762053. The reversal of 13884510762010 is 1026701548831.

It can be written as a sum of positive squares in 8 ways, for example, as 6071261504049 + 7813249257961 = 2463993^2 + 2795219^2 .

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, 3223674 + ... + 6177466.

Almost surely, 213884510762010 is an apocalyptic number.

13884510762010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13884510762010 is an abundant number, since it is smaller than the sum of its proper divisors (15900153743222).

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

13884510762010 is a wasteful number, since it uses less digits than its factorization.

13884510762010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954048 (or 2954041 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 13884510762010 in words is "thirteen trillion, eight hundred eighty-four billion, five hundred ten million, seven hundred sixty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 53 70 98 106 181 245 265 362 371 490 530 742 905 1267 1810 1855 2534 2597 3710 5194 6335 8869 9593 12670 12985 17738 19186 25970 44345 47965 67151 88690 95930 134302 335755 470057 671510 940114 2350285 2953793 4700570 5907586 14768965 20676551 29537930 41353102 103382755 144735857 156551029 206765510 289471714 313102058 534636533 723679285 782755145 1069273066 1095857203 1447358570 1565510290 2191714406 2673182665 3742455731 5346365330 5479286015 7484911462 7671000421 10958572030 15342000842 18712278655 26197190117 28335736249 37424557310 38355002105 52394380234 56671472498 76710004210 130985950585 141678681245 198350153743 261971901170 283357362490 396700307486 991750768715 1388451076201 1983501537430 2776902152402 6942255381005 13884510762010