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1225441863048 = 2331341103930073
BaseRepresentation
bin10001110101010010000…
…001101110010110001000
311100011002011001122221110
4101311102001232112020
5130034201104104143
62334543224010320
7154351406653614
oct21652201562610
94304064048843
101225441863048
11432785a91397
121795ba0009a0
138b73552c340
1443451452344
1521d23590533
hex11d5206e588

1225441863048 has 128 divisors (see below), whose sum is σ = 3412553114880. Its totient is φ = 364290600960.

The previous prime is 1225441862989. The next prime is 1225441863073. The reversal of 1225441863048 is 8403681445221.

It is a junction number, because it is equal to n+sod(n) for n = 1225441862988 and 1225441863006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852540 + ... + 1782612.

It is an arithmetic number, because the mean of its divisors is an integer number (26660571210).

Almost surely, 21225441863048 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 1225441863048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706276557440).

1225441863048 is an abundant number, since it is smaller than the sum of its proper divisors (2187111251832).

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

1225441863048 is a wasteful number, since it uses less digits than its factorization.

1225441863048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930239 (or 930235 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 1225441863048 in words is "one trillion, two hundred twenty-five billion, four hundred forty-one million, eight hundred sixty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 103 104 123 156 164 206 246 309 312 328 412 492 533 618 824 984 1066 1236 1339 1599 2132 2472 2678 3198 4017 4223 4264 5356 6396 8034 8446 10712 12669 12792 16068 16892 25338 32136 33784 50676 54899 101352 109798 164697 219596 329394 439192 658788 930073 1317576 1860146 2790219 3720292 5580438 7440584 11160876 12090949 22321752 24181898 36272847 38132993 48363796 72545694 76265986 95797519 96727592 114398979 145091388 152531972 191595038 228797958 287392557 290182776 305063944 383190076 457595916 495728909 574785114 766380152 915191832 991457818 1149570228 1245367747 1487186727 1982915636 2299140456 2490735494 2974373454 3736103241 3927698279 3965831272 4981470988 5948746908 7472206482 7855396558 9962941976 11783094837 11897493816 14944412964 15710793116 23566189674 29888825928 31421586232 47132379348 51060077627 94264758696 102120155254 153180232881 204240310508 306360465762 408480621016 612720931524 1225441863048