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11451316312449 = 331325348719721
BaseRepresentation
bin1010011010100011011110…
…1001000001100110000001
31111112201211220220211011000
42212220313221001212001
53000104243433444244
640204355002242213
72261221202430606
oct246506751014601
944481756824130
1011451316312449
113715526583392
12134b4127b6369
13650b1542bc00
142b8364bd46ad
1514cd1d2ab169
hexa6a37a41981

11451316312449 has 96 divisors (see below), whose sum is σ = 18722668043520. Its totient is φ = 6911871782400.

The previous prime is 11451316312417. The next prime is 11451316312477. The reversal of 11451316312449 is 94421361315411.

11451316312449 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 3 + 1 + 631 + 2 + 4 + 4 + 9 = 666.

It is not a de Polignac number, because 11451316312449 - 25 = 11451316312417 is a prime.

It is a super-2 number, since 2×114513163124492 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11451316312549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1177992909 + ... + 1178002629.

It is an arithmetic number, because the mean of its divisors is an integer number (195027792120).

Almost surely, 211451316312449 is an apocalyptic number.

It is an amenable number.

11451316312449 is a deficient number, since it is larger than the sum of its proper divisors (7271351731071).

11451316312449 is a wasteful number, since it uses less digits than its factorization.

11451316312449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14680 (or 14661 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 11451316312449 in words is "eleven trillion, four hundred fifty-one billion, three hundred sixteen million, three hundred twelve thousand, four hundred forty-nine".

Divisors: 1 3 9 13 27 39 53 117 159 169 351 477 507 689 1431 1521 2067 4563 4871 6201 8957 9721 14613 18603 26871 29163 43839 63323 80613 87489 126373 131517 189969 241839 258163 262467 379119 515213 569907 774489 823199 1137357 1545639 1642849 1709721 2323467 2469597 3356119 3412071 4636917 4928547 6697769 6970401 7408791 10068357 13910751 14785641 20093307 22226373 30205071 43629547 44356923 47350991 60279921 87070997 90615213 130888641 142052973 180839763 261212991 392665923 426158919 615562883 783638973 1177997769 1278476757 1846688649 2350916919 2509602523 5540065947 7528807569 8002317479 16620197841 22586422707 24006952437 32624832799 67759268121 72020857311 97874498397 216062571933 293623495191 424122826387 880870485573 1272368479161 3817105437483 11451316312449