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12348572965452 = 2234269486129147
BaseRepresentation
bin1011001110110010000001…
…0011100001101001001100
31121201111211021121102210000
42303230200103201221030
53104304334134343302
642132504530244300
72413104102230133
oct263544023415114
947644737542700
1012348572965452
113a3100056aa59
1214752a0126690
136b7608735469
14309961b0291a
15166334a3e31c
hexb3b204e1a4c

12348572965452 has 120 divisors (see below), whose sum is σ = 32409392455440. Its totient is φ = 4099904864640.

The previous prime is 12348572965427. The next prime is 12348572965453. The reversal of 12348572965452 is 25456927584321.

12348572965452 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 8 + 572 + 9 + 6 + 5 + 4 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12348572965452.

It is not an unprimeable number, because it can be changed into a prime (12348572965453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 423650743 + ... + 423679889.

It is an arithmetic number, because the mean of its divisors is an integer number (270078270462).

Almost surely, 212348572965452 is an apocalyptic number.

12348572965452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12348572965452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204696227720).

12348572965452 is an abundant number, since it is smaller than the sum of its proper divisors (20060819489988).

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

12348572965452 is a wasteful number, since it uses less digits than its factorization.

12348572965452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34293 (or 34282 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 12348572965452 in words is "twelve trillion, three hundred forty-eight billion, five hundred seventy-two million, nine hundred sixty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 269 324 538 807 1076 1614 2421 3228 4842 4861 7263 9684 9722 14526 14583 19444 21789 29052 29147 29166 43578 43749 58294 58332 87156 87441 87498 116588 131247 174882 174996 262323 262494 349764 393741 524646 524988 786969 787482 1049292 1307609 1573938 1574964 2360907 2615218 3147876 3922827 4721814 5230436 7840543 7845654 9443628 11768481 15681086 15691308 23521629 23536962 31362172 35305443 47043258 47073924 70564887 70610886 94086516 105916329 141129774 141221772 141683567 211694661 211832658 282259548 283367134 423389322 423665316 425050701 566734268 635083983 846778644 850101402 1270167966 1275152103 1700202804 2540335932 2550304206 3825456309 5100608412 7650912618 11476368927 15301825236 22952737854 38112879523 45905475708 76225759046 114338638569 152451518092 228677277138 343015915707 457354554276 686031831414 1029047747121 1372063662828 2058095494242 3087143241363 4116190988484 6174286482726 12348572965452