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18313298000 = 245337614057
BaseRepresentation
bin10001000011100011…
…101100000001010000
31202021021200221002022
4101003203230001100
5300001201014000
612225113311012
71215551315234
oct210343540120
952237627068
1018313298000
117848419928
123671105468
13195b10610a
14c5a2a25c4
15722b42585
hex4438ec050

18313298000 has 160 divisors (see below), whose sum is σ = 46235293728. Its totient is φ = 7008768000.

The previous prime is 18313297997. The next prime is 18313298009. The reversal of 18313298000 is 89231381.

It can be written as a sum of positive squares in 16 ways, for example, as 14035614784 + 4277683216 = 118472^2 + 65404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18313298009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4511972 + ... + 4516028.

Almost surely, 218313298000 is an apocalyptic number.

18313298000 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 18313298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23117646864).

18313298000 is an abundant number, since it is smaller than the sum of its proper divisors (27921995728).

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

18313298000 is a wasteful number, since it uses less digits than its factorization.

18313298000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 18313298000 in words is "eighteen billion, three hundred thirteen million, two hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 61 74 80 100 122 125 148 185 200 244 250 296 305 370 400 488 500 592 610 740 925 976 1000 1220 1480 1525 1850 2000 2257 2440 2960 3050 3700 4057 4514 4625 4880 6100 7400 7625 8114 9028 9250 11285 12200 14800 15250 16228 18056 18500 20285 22570 24400 30500 32456 36112 37000 40570 45140 56425 61000 64912 74000 81140 90280 101425 112850 122000 150109 162280 180560 202850 225700 247477 282125 300218 324560 405700 451400 494954 507125 564250 600436 750545 811400 902800 989908 1014250 1128500 1200872 1237385 1501090 1622800 1979816 2028500 2257000 2401744 2474770 3002180 3752725 3959632 4057000 4514000 4949540 6004360 6186925 7505450 8114000 9156649 9899080 12008720 12373850 15010900 18313298 18763625 19798160 24747700 30021800 30934625 36626596 37527250 45783245 49495400 60043600 61869250 73253192 75054500 91566490 98990800 123738500 146506384 150109000 183132980 228916225 247477000 300218000 366265960 457832450 494954000 732531920 915664900 1144581125 1831329800 2289162250 3662659600 4578324500 9156649000 18313298000