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12732227248 = 24131731412833
BaseRepresentation
bin10111101101110011…
…00101111010110000
31012212022221011022011
423312321211322300
5202033422232443
65503223452304
7630342101026
oct136671457260
935768834264
1012732227248
115444012864
122573bb7094
13127ba788a0
1488ad84716
154e7babb9d
hex2f6e65eb0

12732227248 has 160 divisors (see below), whose sum is σ = 29755095552. Its totient is φ = 5219942400.

The previous prime is 12732227243. The next prime is 12732227267. The reversal of 12732227248 is 84272223721.

It is a happy number.

It is a super-2 number, since 2×127322272482 (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 12732227248.

It is not an unprimeable number, because it can be changed into a prime (12732227243) 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, 4492840 + ... + 4495672.

Almost surely, 212732227248 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 12732227248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877547776).

12732227248 is an abundant number, since it is smaller than the sum of its proper divisors (17022868304).

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

12732227248 is a wasteful number, since it uses less digits than its factorization.

12732227248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2937 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The spelling of 12732227248 in words is "twelve billion, seven hundred thirty-two million, two hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 31 34 41 52 62 68 82 104 124 136 164 208 221 248 272 328 403 442 496 527 533 656 697 806 884 1054 1066 1271 1394 1612 1768 2108 2132 2542 2788 2833 3224 3536 4216 4264 5084 5576 5666 6448 6851 8432 8528 9061 10168 11152 11332 13702 16523 18122 20336 21607 22664 27404 33046 36244 36829 43214 45328 48161 54808 66092 72488 73658 86428 87823 96322 109616 116153 132184 144976 147316 172856 175646 192644 232306 264368 280891 294632 345712 351292 385288 464612 561782 589264 626093 702584 770576 929224 1123564 1141699 1252186 1405168 1492991 1509989 1858448 1974601 2247128 2283398 2504372 2985982 3019978 3600743 3949202 4494256 4566796 5008744 5971964 6039956 7201486 7898404 9133592 10017488 11943928 12079912 14402972 15796808 18267184 19408883 23887856 24159824 25669813 28805944 31593616 38817766 46809659 51339626 57611888 61212631 77635532 93619318 102679252 122425262 155271064 187238636 205358504 244850524 310542128 374477272 410717008 489701048 748954544 795764203 979402096 1591528406 3183056812 6366113624 12732227248