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13413675252 = 2231959997151
BaseRepresentation
bin11000111111000010…
…00111000011110100
31021121211012022020010
430133201013003310
5204432400102002
610055005340220
7653255233635
oct143741070364
937554168203
1013413675252
11576374082a
122724267670
131359cc0963
1491368d88c
1553791746c
hex31f8470f4

13413675252 has 48 divisors (see below), whose sum is σ = 33504307200. Its totient is φ = 4164098400.

The previous prime is 13413675239. The next prime is 13413675263. The reversal of 13413675252 is 25257631431.

13413675252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134136752522 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13413675252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485124 + ... + 512027.

It is an arithmetic number, because the mean of its divisors is an integer number (698006400).

Almost surely, 213413675252 is an apocalyptic number.

13413675252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13413675252 is an abundant number, since it is smaller than the sum of its proper divisors (20090631948).

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

13413675252 is a wasteful number, since it uses less digits than its factorization.

13413675252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997236 (or 997234 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The spelling of 13413675252 in words is "thirteen billion, four hundred thirteen million, six hundred seventy-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 1121 2242 3363 4484 6726 13452 997151 1994302 2991453 3988604 5982906 11965812 18945869 37891738 56837607 58831909 75783476 113675214 117663818 176495727 227350428 235327636 352991454 705982908 1117806271 2235612542 3353418813 4471225084 6706837626 13413675252