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1018459010380 = 2257291259199247
BaseRepresentation
bin11101101001000001110…
…00110011010101001100
310121100211011022022101011
432310200320303111030
5113141301001313010
62055512411055004
7133403235515560
oct16644070632514
93540734268334
101018459010380
11362a20618679
12145473a41464
137506a62c0a6
1437417bd96a0
151b75c08ca8a
hexed20e3354c

1018459010380 has 96 divisors (see below), whose sum is σ = 2530608998400. Its totient is φ = 336875572992.

The previous prime is 1018459010377. The next prime is 1018459010383. The reversal of 1018459010380 is 830109548101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1018459010377) and next prime (1018459010383).

It is not an unprimeable number, because it can be changed into a prime (1018459010383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5011917 + ... + 5211163.

It is an arithmetic number, because the mean of its divisors is an integer number (26360510400).

Almost surely, 21018459010380 is an apocalyptic number.

1018459010380 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 1018459010380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265304499200).

1018459010380 is an abundant number, since it is smaller than the sum of its proper divisors (1512149988020).

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

1018459010380 is a wasteful number, since it uses less digits than its factorization.

1018459010380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200551 (or 200549 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 1018459010380 in words is "one trillion, eighteen billion, four hundred fifty-nine million, ten thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 1259 2030 2518 4060 5036 6295 8813 12590 17626 25180 35252 36511 44065 73022 88130 146044 176260 182555 199247 255577 365110 398494 511154 730220 796988 996235 1022308 1277885 1394729 1992470 2555770 2789458 3984940 5111540 5578916 5778163 6973645 11556326 13947290 23112652 27894580 28890815 40447141 57781630 80894282 115563260 161788564 202235705 250851973 404471410 501703946 808942820 1003407892 1254259865 1755963811 2508519730 3511927622 5017039460 7023855244 7274707217 8779819055 14549414434 17559638110 29098828868 35119276220 36373536085 50922950519 72747072170 101845901038 145494144340 203691802076 254614752595 509229505190 1018459010380