Search a number
-
+
13452112596 = 22313312611471
BaseRepresentation
bin11001000011100111…
…01111001011010100
31021201111112010100110
430201303233023110
5210022220100341
610102501243020
7654233033106
oct144163571324
937644463313
1013452112596
11578340432a
122735103470
131364c5b150
14918817576
1553aeab216
hex321cef2d4

13452112596 has 144 divisors (see below), whose sum is σ = 35525059584. Its totient is φ = 3937248000.

The previous prime is 13452112591. The next prime is 13452112621. The reversal of 13452112596 is 69521125431.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13452112591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9144141 + ... + 9145611.

Almost surely, 213452112596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13452112596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762529792).

13452112596 is an abundant number, since it is smaller than the sum of its proper divisors (22072946988).

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

13452112596 is a wasteful number, since it uses less digits than its factorization.

13452112596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1581 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The spelling of 13452112596 in words is "thirteen billion, four hundred fifty-two million, one hundred twelve thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 61 62 78 93 122 124 156 183 186 244 366 372 403 732 793 806 961 1209 1471 1586 1612 1891 1922 2379 2418 2883 2942 3172 3782 3844 4413 4758 4836 5673 5766 5884 7564 8826 9516 11346 11532 12493 17652 19123 22692 24583 24986 37479 38246 45601 49166 49972 57369 58621 73749 74958 76492 89731 91202 98332 114738 117242 136803 147498 149916 175863 179462 182404 229476 234484 269193 273606 294996 351726 358924 538386 547212 592813 703452 762073 1076772 1166503 1185626 1413631 1524146 1778439 2286219 2333006 2371252 2781661 2827262 3048292 3499509 3556878 4240893 4572438 4666012 5563322 5654524 6999018 7113756 8344983 8481786 9144876 11126644 13998036 16689966 16963572 18377203 33379932 36161593 36754406 55131609 72323186 73508812 86231491 108484779 110263218 144646372 172462982 216969558 220526436 258694473 344925964 433939116 517388946 1034777892 1121009383 2242018766 3363028149 4484037532 6726056298 13452112596