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13404370644 = 22337107165707
BaseRepresentation
bin11000111101111011…
…00111011011010100
31021121011200120201000
430132331213123110
5204423004330034
610054034103300
7653113161540
oct143675473324
937534616630
1013404370644
115759466075
12272111ab30
1313580b3782
1491234aa20
15536bca599
hex31ef676d4

13404370644 has 96 divisors (see below), whose sum is σ = 40088079360. Its totient is φ = 3794004576.

The previous prime is 13404370601. The next prime is 13404370669. The reversal of 13404370644 is 44607340431.

13404370644 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 3 + 7 + 0 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13404370599 and 13404370608.

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, 1962 + ... + 163745.

It is an arithmetic number, because the mean of its divisors is an integer number (417584160).

Almost surely, 213404370644 is an apocalyptic number.

13404370644 is a gapful number since it is divisible by the number (14) 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 13404370644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044039680).

13404370644 is an abundant number, since it is smaller than the sum of its proper divisors (26683708716).

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

13404370644 is a wasteful number, since it uses less digits than its factorization.

13404370644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165834 (or 165826 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 13404370644 in words is "thirteen billion, four hundred four million, three hundred seventy thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 107 108 126 189 214 252 321 378 428 642 749 756 963 1284 1498 1926 2247 2889 2996 3852 4494 5778 6741 8988 11556 13482 20223 26964 40446 80892 165707 331414 497121 662828 994242 1159949 1491363 1988484 2319898 2982726 3479847 4474089 4639796 5965452 6959694 8948178 10439541 13919388 17730649 17896356 20879082 31318623 35461298 41758164 53191947 62637246 70922596 106383894 124114543 125274492 159575841 212767788 248229086 319151682 372343629 478727523 496458172 638303364 744687258 957455046 1117030887 1489374516 1914910092 2234061774 3351092661 4468123548 6702185322 13404370644