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13437673431 = 37133710712433
BaseRepresentation
bin11001000001111001…
…01001111111010111
31021200111100112112120
430200330221333113
5210010021022211
610101223551023
7653666224320
oct144074517727
937614315476
1013437673431
115776241a36
1227302bb473
131361c73b70
14916939447
15539aa7d06
hex320f29fd7

13437673431 has 64 divisors (see below), whose sum is σ = 22861052928. Its totient is φ = 6831433728.

The previous prime is 13437673427. The next prime is 13437673439.

13437673431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13437673431 - 22 = 13437673427 is a prime.

It is a super-2 number, since 2×134376734312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13437673439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074591 + ... + 1087023.

It is an arithmetic number, because the mean of its divisors is an integer number (357203952).

Almost surely, 213437673431 is an apocalyptic number.

13437673431 is a deficient number, since it is larger than the sum of its proper divisors (9423379497).

13437673431 is a wasteful number, since it uses less digits than its factorization.

13437673431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600.

The product of its digits is 381024, while the sum is 42.

The spelling of 13437673431 in words is "thirteen billion, four hundred thirty-seven million, six hundred seventy-three thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 91 107 111 259 273 321 481 749 777 1391 1443 2247 3367 3959 4173 9737 10101 11877 12433 27713 29211 37299 51467 83139 87031 154401 161629 261093 360269 460021 484887 1080807 1131403 1330331 1380063 3220147 3394209 3990993 5980273 9312317 9660441 17294303 17940819 27936951 41861911 49222247 51882909 121060121 125585733 147666741 344555729 363180363 639889211 1033667187 1919667633 4479224477 13437673431