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12903596836 = 221321722572
BaseRepresentation
bin11000000010001110…
…10100001100100100
31020022021101122011221
430001013110030210
5202411310044321
65532224510124
7634522522564
oct140107241444
936267348157
1012903596836
115521820319
12260147b344
1312a841a400
148a5a32da4
15507c5ce41
hex3011d4324

12903596836 has 81 divisors (see below), whose sum is σ = 26076354969. Its totient is φ = 5583372288.

The previous prime is 12903596833. The next prime is 12903596843. The reversal of 12903596836 is 63869530921.

The square root of 12903596836 is 113594.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 614544100 + 12289052736 = 24790^2 + 110856^2 .

It is a super-2 number, since 2×129035968362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12903596833) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50208420 + ... + 50208676.

Almost surely, 212903596836 is an apocalyptic number.

12903596836 is the 113594-th square number.

It is an amenable number.

12903596836 is an abundant number, since it is smaller than the sum of its proper divisors (13172758133).

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

12903596836 is a wasteful number, since it uses less digits than its factorization.

12903596836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 12903596836 in words is "twelve billion, nine hundred three million, five hundred ninety-six thousand, eight hundred thirty-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 257 289 338 442 514 578 676 884 1028 1156 2873 3341 3757 4369 5746 6682 7514 8738 11492 13364 15028 17476 43433 48841 56797 66049 74273 86866 97682 113594 132098 148546 173732 195364 227188 264196 297092 738361 858637 965549 1122833 1476722 1717274 1931098 2245666 2953444 3434548 3862196 4491332 11162281 12552137 14596829 19088161 22324562 25104274 29193658 38176322 44649124 50208548 58387316 76352644 189758777 248146093 379517554 496292186 759035108 992584372 3225899209 6451798418 12903596836