Search a number
-
+
12853061460 = 22325161344269
BaseRepresentation
bin10111111100001101…
…00010011101010100
31020011202022011200100
423332012202131110
5202310340431320
65523221414100
7633340135251
oct137606423524
936152264610
1012853061460
1154a6244348
1225a856a330
13129ab05415
1489d03a428
155035c9790
hex2fe1a2754

12853061460 has 72 divisors (see below), whose sum is σ = 39012671880. Its totient is φ = 3425280768.

The previous prime is 12853061449. The next prime is 12853061483. The reversal of 12853061460 is 6416035821.

It is a happy number.

12853061460 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 30 + 614 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5533574544 + 7319486916 = 74388^2 + 85554^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268206 + ... + 312474.

It is an arithmetic number, because the mean of its divisors is an integer number (541842665).

Almost surely, 212853061460 is an apocalyptic number.

12853061460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12853061460 is an abundant number, since it is smaller than the sum of its proper divisors (26159610420).

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

12853061460 is a wasteful number, since it uses less digits than its factorization.

12853061460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45897 (or 45892 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12853061460 in words is "twelve billion, eight hundred fifty-three million, sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1613 3226 4839 6452 8065 9678 14517 16130 19356 24195 29034 32260 44269 48390 58068 72585 88538 96780 132807 145170 177076 221345 265614 290340 398421 442690 531228 664035 796842 885380 1328070 1593684 1992105 2656140 3984210 7968420 71405897 142811794 214217691 285623588 357029485 428435382 642653073 714058970 856870764 1071088455 1285306146 1428117940 2142176910 2570612292 3213265365 4284353820 6426530730 12853061460