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1766053079420 = 2257217440924043
BaseRepresentation
bin11001101100110000111…
…101110110100101111100
320020211111021102220220212
4121230300331312211330
5212413334042020140
63431151422331552
7241410304330100
oct31546075664574
96224437386825
101766053079420
11620a84a16823
12246333729bb8
13ca6cc254656
14616980a9900
1530e14691765
hex19b30f7697c

1766053079420 has 144 divisors (see below), whose sum is σ = 4569218851680. Its totient is φ = 569733083136.

The previous prime is 1766053079411. The next prime is 1766053079423. The reversal of 1766053079420 is 249703506671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1766053079423) 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, 73441919 + ... + 73465961.

It is an arithmetic number, because the mean of its divisors is an integer number (31730686470).

Almost surely, 21766053079420 is an apocalyptic number.

1766053079420 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 1766053079420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284609425840).

1766053079420 is an abundant number, since it is smaller than the sum of its proper divisors (2803165772260).

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

1766053079420 is a wasteful number, since it uses less digits than its factorization.

1766053079420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28492 (or 28483 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 1766053079420 in words is "one trillion, seven hundred sixty-six billion, fifty-three million, seventy-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 4409 8330 8818 16660 17636 22045 24043 30863 44090 48086 61726 74953 88180 96172 120215 123452 149906 154315 168301 216041 240430 299812 308630 336602 374765 408731 432082 480860 524671 617260 673204 749530 817462 841505 864164 1049342 1080205 1178107 1499060 1634924 1683010 2043655 2098684 2160410 2356214 2623355 2861117 3366020 3672697 4087310 4320820 4712428 5246710 5722234 5890535 7345394 8174620 10493420 11444468 11781070 14305585 14690788 18363485 20027819 23562140 28611170 36726970 40055638 57222340 73453940 80111276 100139095 106005587 200278190 212011174 400556380 424022348 530027935 742039109 1060055870 1484078218 1802094979 2120111740 2968156436 3604189958 3710195545 5194273763 7208379916 7420391090 9010474895 10388547526 12614664853 14840782180 18020949790 20777095052 25229329706 25971368815 36041899580 50458659412 51942737630 63073324265 88302653971 103885475260 126146648530 176605307942 252293297060 353210615884 441513269855 883026539710 1766053079420