Search a number
-
+
12848853960 = 2333531383777
BaseRepresentation
bin10111111011101100…
…11111001111001000
31020011110101102002000
423331312133033020
5202303301311320
65522551311000
7633256312425
oct137566371710
936143342060
1012848853960
1154a3930178
1225a707b460
131299c91287
1489c662d4c
15503047c90
hex2fdd9f3c8

12848853960 has 128 divisors (see below), whose sum is σ = 44211225600. Its totient is φ = 3315824640.

The previous prime is 12848853947. The next prime is 12848853961. The reversal of 12848853960 is 6935884821.

12848853960 is a `hidden beast` number, since 1 + 2 + 8 + 48 + 8 + 539 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12848853897 and 12848853906.

It is not an unprimeable number, because it can be changed into a prime (12848853961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158409 + ... + 225368.

It is an arithmetic number, because the mean of its divisors is an integer number (345400200).

Almost surely, 212848853960 is an apocalyptic number.

12848853960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12848853960 is an abundant number, since it is smaller than the sum of its proper divisors (31362371640).

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

12848853960 is a wasteful number, since it uses less digits than its factorization.

12848853960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383828 (or 383818 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12848853960 in words is "twelve billion, eight hundred forty-eight million, eight hundred fifty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 383777 767554 1151331 1535108 1918885 2302662 3070216 3453993 3837770 4605324 5756655 6907986 7675540 9210648 10361979 11513310 11897087 13815972 15351080 17269965 20723958 23026620 23794174 27631944 34539930 35691261 41447916 46053240 47588348 51809895 59485435 69079860 71382522 82895832 95176696 103619790 107073783 118970870 138159720 142765044 178456305 207239580 214147566 237941740 285530088 321221349 356912610 414479160 428295132 475883480 535368915 642442698 713825220 856590264 1070737830 1284885396 1427650440 1606106745 2141475660 2569770792 3212213490 4282951320 6424426980 12848853960