Search a number
-
+
13425237612468 = 2234113766901687
BaseRepresentation
bin1100001101011100111010…
…0001001101011110110100
31202112102212220002110010000
43003113032201031132310
53224424341312044333
644315245150231300
72553640621563453
oct303271641153664
952472786073100
1013425237612468
11430667a700960
121609a98ab5530
13764cc0b26156
14345adbd44b9a
1518434ba3b713
hexc35ce84d7b4

13425237612468 has 60 divisors (see below), whose sum is σ = 38286788756832. Its totient is φ = 4068253820880.

The previous prime is 13425237612463. The next prime is 13425237612481. The reversal of 13425237612468 is 86421673252431.

13425237612468 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 523 + 76 + 1 + 2 + 46 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13425237612463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1883447280 + ... + 1883454407.

Almost surely, 213425237612468 is an apocalyptic number.

13425237612468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13425237612468 is an abundant number, since it is smaller than the sum of its proper divisors (24861551144364).

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

13425237612468 is a wasteful number, since it uses less digits than its factorization.

13425237612468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766901714 (or 3766901703 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 13425237612468 in words is "thirteen trillion, four hundred twenty-five billion, two hundred thirty-seven million, six hundred twelve thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 3766901687 7533803374 11300705061 15067606748 22601410122 33902115183 41435918557 45202820244 67804230366 82871837114 101706345549 124307755671 135608460732 165743674228 203412691098 248615511342 305119036647 372923267013 406825382196 497231022684 610238073294 745846534026 1118769801039 1220476146588 1491693068052 2237539602078 3356309403117 4475079204156 6712618806234 13425237612468