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12475252224 = 293213919477
BaseRepresentation
bin10111001111001010…
…10011111000000000
31012012102101110211200
423213211103320000
5201022131032344
65421523541200
7621101615511
oct134745237000
935172343750
1012475252224
115321a55706
122501b2a800
13123a763466
14864bb0a08
154d034b069
hex2e7953e00

12475252224 has 120 divisors (see below), whose sum is σ = 36265309080. Its totient is φ = 4128288768.

The previous prime is 12475252217. The next prime is 12475252247. The reversal of 12475252224 is 42225257421.

12475252224 is a `hidden beast` number, since 124 + 7 + 5 + 2 + 522 + 2 + 4 = 666.

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 11 ways as a sum of consecutive naturals, for example, 630774 + ... + 650250.

It is an arithmetic number, because the mean of its divisors is an integer number (302210909).

Almost surely, 212475252224 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 12475252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132654540).

12475252224 is an abundant number, since it is smaller than the sum of its proper divisors (23790056856).

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

12475252224 is a wasteful number, since it uses less digits than its factorization.

12475252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19640 (or 19621 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The spelling of 12475252224 in words is "twelve billion, four hundred seventy-five million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 512 556 576 768 834 1112 1152 1251 1536 1668 2224 2304 2502 3336 4448 4608 5004 6672 8896 10008 13344 17792 19477 20016 26688 35584 38954 40032 53376 58431 71168 77908 80064 106752 116862 155816 160128 175293 213504 233724 311632 320256 350586 467448 623264 640512 701172 934896 1246528 1402344 1869792 2493056 2707303 2804688 3739584 4986112 5414606 5609376 7479168 8121909 9972224 10829212 11218752 14958336 16243818 21658424 22437504 24365727 29916672 32487636 43316848 44875008 48731454 64975272 86633696 89750016 97462908 129950544 173267392 194925816 259901088 346534784 389851632 519802176 693069568 779703264 1039604352 1386139136 1559406528 2079208704 3118813056 4158417408 6237626112 12475252224