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12152145152 = 287291971187
BaseRepresentation
bin10110101000101001…
…10000010100000000
31011100220101221021002
423110110300110000
5144341422121102
65325502351132
7610066346420
oct132424602400
934326357232
1012152145152
115176629574
12243188b4a8
1311b8834c44
14833d04480
154b1cc5902
hex2d4530500

12152145152 has 144 divisors (see below), whose sum is σ = 28847871360. Its totient is φ = 4998733824.

The previous prime is 12152145143. The next prime is 12152145157. The reversal of 12152145152 is 25154125121.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12152145157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10237103 + ... + 10238289.

It is an arithmetic number, because the mean of its divisors is an integer number (200332440).

Almost surely, 212152145152 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 12152145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423935680).

12152145152 is an abundant number, since it is smaller than the sum of its proper divisors (16695726208).

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

12152145152 is a wasteful number, since it uses less digits than its factorization.

12152145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1422 counting only the distinct ones).

The product of its digits is 4000, while the sum is 29.

The spelling of 12152145152 in words is "twelve billion, one hundred fifty-two million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 197 203 224 232 256 394 406 448 464 788 812 896 928 1187 1379 1576 1624 1792 1856 2374 2758 3152 3248 3712 4748 5516 5713 6304 6496 7424 8309 9496 11032 11426 12608 12992 16618 18992 22064 22852 25216 25984 33236 34423 37984 39991 44128 45704 50432 51968 66472 68846 75968 79982 88256 91408 132944 137692 151936 159964 176512 182816 233839 240961 265888 275384 303872 319928 353024 365632 467678 481922 531776 550768 639856 731264 935356 963844 1063552 1101536 1279712 1462528 1636873 1870712 1927688 2127104 2203072 2559424 3273746 3741424 3855376 4406144 5118848 6547492 6781331 7482848 7710752 8812288 10237696 13094984 13562662 14965696 15421504 26189968 27125324 29931392 30843008 47469317 52379936 54250648 59862784 61686016 94938634 104759872 108501296 189877268 209519744 217002592 379754536 419039488 434005184 759509072 868010368 1519018144 1736020736 3038036288 6076072576 12152145152