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1711135983340 = 2257109509921991
BaseRepresentation
bin11000111001100111101…
…001110000011011101100
320001120202000020101112101
4120321213221300123230
5211013401302431330
63350030210344444
7234424354606210
oct30714751603354
96046660211471
101711135983340
115aa763720703
12237767b8b124
13c5489892124
145cb686d8940
152e79d2be4ca
hex18e67a706ec

1711135983340 has 96 divisors (see below), whose sum is σ = 4145404032000. Its totient is φ = 581152423680.

The previous prime is 1711135983301. The next prime is 1711135983371. The reversal of 1711135983340 is 433895311171.

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, 77799745 + ... + 77821735.

It is an arithmetic number, because the mean of its divisors is an integer number (43181292000).

Almost surely, 21711135983340 is an apocalyptic number.

1711135983340 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 1711135983340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072702016000).

1711135983340 is an abundant number, since it is smaller than the sum of its proper divisors (2434268048660).

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

1711135983340 is a wasteful number, since it uses less digits than its factorization.

1711135983340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27215 (or 27213 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 1711135983340 in words is "one trillion, seven hundred eleven billion, one hundred thirty-five million, nine hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 3052 3815 5099 7630 10198 15260 20396 21991 25495 35693 43982 50990 71386 87964 101980 109955 142772 153937 178465 219910 307874 356930 439820 555791 615748 713860 769685 1111582 1539370 2223164 2397019 2778955 3078740 3890537 4794038 5557910 7781074 9588076 11115820 11985095 15562148 16779133 19452685 23970190 33558266 38905370 47940380 67116532 77810740 83895665 112132109 167791330 224264218 335582660 448528436 560660545 784924763 1121321090 1569849526 2242642180 3139699052 3924623815 7849247630 12222399881 15698495260 24444799762 48889599524 61111999405 85556799167 122223998810 171113598334 244447997620 342227196668 427783995835 855567991670 1711135983340