Search a number
-
+
12848220216 = 2333137975741
BaseRepresentation
bin10111111011101000…
…00100100000111000
31020011102012012202000
423331310010200320
5202303121021331
65522525541000
7633251032656
oct137564044070
936142165660
1012848220216
1154a3538017
1225a6a14760
131299acb990
1489c539dd6
15502e700e6
hex2fdd04838

12848220216 has 128 divisors (see below), whose sum is σ = 38489774400. Its totient is φ = 3947650560.

The previous prime is 12848220211. The next prime is 12848220239. The reversal of 12848220216 is 61202284821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12848220211) 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, 2235106 + ... + 2240846.

Almost surely, 212848220216 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 12848220216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19244887200).

12848220216 is an abundant number, since it is smaller than the sum of its proper divisors (25641554184).

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

12848220216 is a wasteful number, since it uses less digits than its factorization.

12848220216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6566 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12848220216 in words is "twelve billion, eight hundred forty-eight million, two hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 797 936 1404 1594 2391 2808 3188 4782 5741 6376 7173 9564 10361 11482 14346 17223 19128 20722 21519 22964 28692 31083 34446 41444 43038 45928 51669 57384 62166 68892 74633 82888 86076 93249 103338 124332 137784 149266 155007 172152 186498 206676 223899 248664 279747 298532 310014 372996 413352 447798 559494 597064 620028 671697 745992 895596 1118988 1240056 1343394 1791192 2015091 2237976 2686788 4030182 4575577 5373576 8060364 9151154 13726731 16120728 18302308 27453462 36604616 41180193 54906924 59482501 82360386 109813848 118965002 123540579 164720772 178447503 237930004 247081158 329441544 356895006 475860008 494162316 535342509 713790012 988324632 1070685018 1427580024 1606027527 2141370036 3212055054 4282740072 6424110108 12848220216