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12785403648 = 28330235507
BaseRepresentation
bin10111110100001000…
…11100011100000000
31020000000222210121110
423322010130130000
5202141030404043
65512403323320
7631556065203
oct137204343400
936000883543
1012785403648
115471032aa6
122589980540
131289aa6a04
1489406793a
154ec6b2b33
hex2fa11c700

12785403648 has 72 divisors (see below), whose sum is σ = 34045256448. Its totient is φ = 4259617792.

The previous prime is 12785403647. The next prime is 12785403649. The reversal of 12785403648 is 84630458721.

It is an interprime number because it is at equal distance from previous prime (12785403647) and next prime (12785403649).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12785403597 and 12785403606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12785403647) 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, 2318911 + ... + 2324417.

It is an arithmetic number, because the mean of its divisors is an integer number (472850784).

Almost surely, 212785403648 is an apocalyptic number.

It is an amenable number.

12785403648 is an abundant number, since it is smaller than the sum of its proper divisors (21259852800).

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

12785403648 is an equidigital number, since it uses as much as digits as its factorization.

12785403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 12785403648 in words is "twelve billion, seven hundred eighty-five million, four hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 3023 5507 6046 9069 11014 12092 16521 18138 22028 24184 33042 36276 44056 48368 66084 72552 88112 96736 132168 145104 176224 193472 264336 290208 352448 386944 528672 580416 704896 773888 1057344 1160832 1409792 2114688 2321664 4229376 16647661 33295322 49942983 66590644 99885966 133181288 199771932 266362576 399543864 532725152 799087728 1065450304 1598175456 2130900608 3196350912 4261801216 6392701824 12785403648