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2448133146928 = 24760509361241
BaseRepresentation
bin100011101000000000000…
…110110100100100110000
322200001001121102102121101
4203220000012310210300
5310102234041200203
65112353513334144
7341605010255350
oct43500006644460
98601047372541
102448133146928
1186427a37a957
1233656aa07354
13149b1cc46031
14866c1466b60
1543a3540941d
hex23a001b4930

2448133146928 has 40 divisors (see below), whose sum is σ = 5420970848160. Its totient is φ = 1049179676160.

The previous prime is 2448133146923. The next prime is 2448133146971. The reversal of 2448133146928 is 8296413318442.

It is not an unprimeable number, because it can be changed into a prime (2448133146923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6596388 + ... + 6957628.

It is an arithmetic number, because the mean of its divisors is an integer number (135524271204).

Almost surely, 22448133146928 is an apocalyptic number.

2448133146928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2448133146928 is an abundant number, since it is smaller than the sum of its proper divisors (2972837701232).

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

2448133146928 is a wasteful number, since it uses less digits than its factorization.

2448133146928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421765 (or 421759 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 55.

The spelling of 2448133146928 in words is "two trillion, four hundred forty-eight billion, one hundred thirty-three million, one hundred forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 60509 121018 242036 361241 423563 484072 722482 847126 968144 1444964 1694252 2528687 2889928 3388504 5057374 5779856 6777008 10114748 20229496 40458992 21858331669 43716663338 87433326676 153008321683 174866653352 306016643366 349733306704 612033286732 1224066573464 2448133146928