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21125441403712 = 2637157341316649
BaseRepresentation
bin1001100110110101001100…
…11011100011101101000000
32202210120110100000111021001
410303122212123203231000
510232104400444404322
6112532521021141344
74310156063065042
oct463324633435500
982716410014231
1021125441403712
116805281a2a208
1224523036ba854
13ba3174ba2539
1453069656da92
152697c414a827
hex1336a66e3b40

21125441403712 has 112 divisors (see below), whose sum is σ = 43343318494800. Its totient is φ = 10208176422912.

The previous prime is 21125441403707. The next prime is 21125441403721. The reversal of 21125441403712 is 21730414452112.

It can be written as a sum of positive squares in 8 ways, for example, as 5501951949376 + 15623489454336 = 2345624^2 + 3952656^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1268863164 + ... + 1268879812.

Almost surely, 221125441403712 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 21125441403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671659247400).

21125441403712 is an abundant number, since it is smaller than the sum of its proper divisors (22217877091088).

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

21125441403712 is a wasteful number, since it uses less digits than its factorization.

21125441403712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20268 (or 20258 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

Adding to 21125441403712 its reverse (21730414452112), we get a palindrome (42855855855824).

The spelling of 21125441403712 in words is "twenty-one trillion, one hundred twenty-five billion, four hundred forty-one million, four hundred three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 148 157 296 314 592 628 1184 1256 2368 2512 3413 5024 5809 6826 10048 11618 13652 16649 23236 27304 33298 46472 54608 66596 92944 109216 126281 133192 185888 218432 252562 266384 371776 505124 532768 535841 616013 1010248 1065536 1071682 1232026 2020496 2143364 2464052 2613893 4040992 4286728 4928104 5227786 8081984 8573456 9856208 10455572 17146912 19712416 19826117 20911144 34293824 39424832 39652234 41822288 56823037 79304468 83644576 96714041 113646074 158608936 167289152 193428082 227292148 317217872 386856164 454584296 634435744 773712328 909168592 1268871488 1547424656 1818337184 2102452369 3094849312 3636674368 4204904738 6189698624 8409809476 8921216809 16819618952 17842433618 33639237904 35684867236 67278475808 71369734472 134556951616 142739468944 285478937888 330085021933 570957875776 660170043866 1320340087732 2640680175464 5281360350928 10562720701856 21125441403712