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1083493002840 = 233517691768631
BaseRepresentation
bin11111100010001010011…
…01110010111001011000
310211120200111020102120120
433301011031302321120
5120222443202042330
62145425543153240
7141164652365253
oct17610515627130
93746614212516
101083493002840
1138856360a786
12155ba3745820
137b232c8a131
143a62707c09a
151d2b670dc10
hexfc45372e58

1083493002840 has 128 divisors (see below), whose sum is σ = 3446668869120. Its totient is φ = 271541606400.

The previous prime is 1083493002803. The next prime is 1083493002853. The reversal of 1083493002840 is 482003943801.

It is a junction number, because it is equal to n+sod(n) for n = 1083493002792 and 1083493002801.

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, 1025325 + ... + 1793955.

It is an arithmetic number, because the mean of its divisors is an integer number (26927100540).

Almost surely, 21083493002840 is an apocalyptic number.

1083493002840 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 1083493002840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723334434560).

1083493002840 is an abundant number, since it is smaller than the sum of its proper divisors (2363175866280).

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

1083493002840 is a wasteful number, since it uses less digits than its factorization.

1083493002840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769353 (or 769349 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1083493002840 in words is "one trillion, eighty-three billion, four hundred ninety-three million, two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 691 1020 1382 2040 2073 2764 3455 4146 5528 6910 8292 10365 11747 13820 16584 20730 23494 27640 35241 41460 46988 58735 70482 82920 93976 117470 140964 176205 234940 281928 352410 469880 704820 768631 1409640 1537262 2305893 3074524 3843155 4611786 6149048 7686310 9223572 11529465 13066727 15372620 18447144 23058930 26133454 30745240 39200181 46117860 52266908 65333635 78400362 92235720 104533816 130667270 156800724 196000905 261334540 313601448 392001810 522669080 531124021 784003620 1062248042 1568007240 1593372063 2124496084 2655620105 3186744126 4248992168 5311240210 6373488252 7966860315 9029108357 10622480420 12746976504 15933720630 18058216714 21244960840 27087325071 31867441260 36116433428 45145541785 54174650142 63734882520 72232866856 90291083570 108349300284 135436625355 180582167140 216698600568 270873250710 361164334280 541746501420 1083493002840