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12250103167232 = 28723359827903
BaseRepresentation
bin1011001001000011001100…
…0011000011100100000000
31121101002122202022101202022
42302100303003003210000
53101201202402322412
642015341504541012
72403016655605250
oct262206303034400
947332582271668
1012250103167232
1139a326a973127
12145a19a921768
136ab244c60a78
14304c9dda7960
151639bed17a72
hexb24330c3900

12250103167232 has 144 divisors (see below), whose sum is σ = 29241834209280. Its totient is φ = 5007787124736.

The previous prime is 12250103167231. The next prime is 12250103167273. The reversal of 12250103167232 is 23276130105221.

It is a junction number, because it is equal to n+sod(n) for n = 12250103167192 and 12250103167201.

It is not an unprimeable number, because it can be changed into a prime (12250103167231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14382593 + ... + 15210495.

It is an arithmetic number, because the mean of its divisors is an integer number (203068293120).

Almost surely, 212250103167232 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 12250103167232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620917104640).

12250103167232 is an abundant number, since it is smaller than the sum of its proper divisors (16991731042048).

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

12250103167232 is an equidigital number, since it uses as much as digits as its factorization.

12250103167232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828308 (or 828294 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 12250103167232 in words is "twelve trillion, two hundred fifty billion, one hundred three million, one hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 359 368 448 644 718 736 896 1288 1436 1472 1792 2513 2576 2872 2944 5026 5152 5744 5888 8257 10052 10304 11488 16514 20104 20608 22976 33028 40208 41216 45952 57799 66056 80416 91904 115598 132112 160832 231196 264224 321664 462392 528448 643328 827903 924784 1056896 1655806 1849568 2113792 3311612 3699136 5795321 6623224 7398272 11590642 13246448 14796544 19041769 23181284 26492896 38083538 46362568 52985792 76167076 92725136 105971584 133292383 152334152 185450272 211943168 266584766 297217177 304668304 370900544 533169532 594434354 609336608 741801088 1066339064 1188868708 1218673216 1483602176 2080520239 2132678128 2377737416 2437346432 4161040478 4265356256 4755474832 4874692864 6835995071 8322080956 8530712512 9510949664 13671990142 16644161912 17061425024 19021899328 27343980284 33288323824 34122850048 38043798656 47851965497 54687960568 66576647648 76087597312 95703930994 109375921136 133153295296 191407861988 218751842272 266306590592 382815723976 437503684544 532613181184 765631447952 875007369088 1531262895904 1750014738176 3062525791808 6125051583616 12250103167232