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13673362480 = 2451730732749
BaseRepresentation
bin11001011101111111…
…01111010000110000
31022021220211210010121
430232333233100300
5211000340044410
610140443340024
7662560443361
oct145677572060
938256753117
1013673362480
115887290678
122797221614
13139ba4573b
14939d6bb68
155506119da
hex32efef430

13673362480 has 80 divisors (see below), whose sum is σ = 33771276000. Its totient is φ = 5130694656.

The previous prime is 13673362477. The next prime is 13673362489. The reversal of 13673362480 is 8426337631.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13673362489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401146 + ... + 433894.

It is an arithmetic number, because the mean of its divisors is an integer number (422140950).

Almost surely, 213673362480 is an apocalyptic number.

13673362480 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 13673362480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885638000).

13673362480 is an abundant number, since it is smaller than the sum of its proper divisors (20097913520).

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

13673362480 is a wasteful number, since it uses less digits than its factorization.

13673362480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33086 (or 33080 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 13673362480 in words is "thirteen billion, six hundred seventy-three million, three hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 307 340 614 680 1228 1360 1535 2456 3070 4912 5219 6140 10438 12280 20876 24560 26095 32749 41752 52190 65498 83504 104380 130996 163745 208760 261992 327490 417520 523984 556733 654980 1113466 1309960 2226932 2619920 2783665 4453864 5567330 8907728 10053943 11134660 20107886 22269320 40215772 44538640 50269715 80431544 100539430 160863088 170917031 201078860 341834062 402157720 683668124 804315440 854585155 1367336248 1709170310 2734672496 3418340620 6836681240 13673362480