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13746162680 = 2355331120849
BaseRepresentation
bin11001100110101010…
…11100101111111000
31022110222211102020022
430303111130233320
5211123004201210
610152003550012
7664433312015
oct146325345770
938428742208
1013746162680
115914394528
1227b768b308
1313b0b54993
149458bc70c
15556be2155
hex33355cbf8

13746162680 has 64 divisors (see below), whose sum is σ = 31615272000. Its totient is φ = 5377116160.

The previous prime is 13746162673. The next prime is 13746162691. The reversal of 13746162680 is 8626164731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648896 + ... + 669744.

It is an arithmetic number, because the mean of its divisors is an integer number (493988625).

Almost surely, 213746162680 is an apocalyptic number.

13746162680 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 13746162680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807636000).

13746162680 is an abundant number, since it is smaller than the sum of its proper divisors (17869109320).

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

13746162680 is a wasteful number, since it uses less digits than its factorization.

13746162680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21224 (or 21220 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 13746162680 in words is "thirteen billion, seven hundred forty-six million, one hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 311 424 530 622 1060 1244 1555 2120 2488 3110 6220 12440 16483 20849 32966 41698 65932 82415 83396 104245 131864 164830 166792 208490 329660 416980 659320 833960 1104997 2209994 4419988 5524985 6484039 8839976 11049970 12968078 22099940 25936156 32420195 44199880 51872312 64840390 129680780 259361560 343654067 687308134 1374616268 1718270335 2749232536 3436540670 6873081340 13746162680