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13438176453 = 341323131667
BaseRepresentation
bin11001000001111101…
…00100110011000101
31021200112022002120000
430200332210303011
5210010133121303
610101242431513
7654003421002
oct144076446305
937615262500
1013438176453
115776555959
122730502599
1313620bbb00
14916a2a8a9
15539b56da3
hex320fa4cc5

13438176453 has 60 divisors (see below), whose sum is σ = 22439184768. Its totient is φ = 8002631520.

The previous prime is 13438176431. The next prime is 13438176491. The reversal of 13438176453 is 35467183431.

13438176453 is a `hidden beast` number, since 1 + 3 + 438 + 176 + 45 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13438176453 is a prime.

It is a super-2 number, since 2×134381764532 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13438176399 and 13438176408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438186453) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 408526 + ... + 440192.

Almost surely, 213438176453 is an apocalyptic number.

13438176453 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13438176453 is a deficient number, since it is larger than the sum of its proper divisors (9001008315).

13438176453 is a wasteful number, since it uses less digits than its factorization.

13438176453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31736 (or 31714 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 13438176453 in words is "thirteen billion, four hundred thirty-eight million, one hundred seventy-six thousand, four hundred fifty-three".

Divisors: 1 3 9 13 27 31 39 81 93 117 169 279 351 403 507 837 1053 1209 1521 2511 3627 4563 5239 10881 13689 15717 31667 32643 47151 95001 141453 285003 411671 424359 855009 981677 1235013 2565027 2945031 3705039 5351723 8835093 11115117 12761801 16055169 26505279 33345351 38285403 48165507 79515837 114856209 144496521 165903413 344568627 433489563 497710239 1033705881 1493130717 4479392151 13438176453