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13127911576516 = 22112157210492
BaseRepresentation
bin1011111100001001010010…
…0000011001001111000100
31201111000102201200212110101
42333002110200121033010
53210041430330422031
643530513533333444
72523313613145502
oct277022440311704
951430381625411
1013127911576516
114201574928400
12158033b037284
13742c58c963b9
14335573db9672
1517b748ebd361
hexbf0948193c4

13127911576516 has 81 divisors (see below), whose sum is σ = 25438360004967. Its totient is φ = 5923572420480.

The previous prime is 13127911576501. The next prime is 13127911576547. The reversal of 13127911576516 is 61567511972131.

It is a happy number.

The square root of 13127911576516 is 3623246.

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

It can be written as a sum of positive squares in 4 ways, for example, as 881439322500 + 12246472254016 = 938850^2 + 3499496^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 12514691160 + ... + 12514692208.

Almost surely, 213127911576516 is an apocalyptic number.

13127911576516 is the 3623246-th square number.

It is an amenable number.

13127911576516 is a deficient number, since it is larger than the sum of its proper divisors (12310448428451).

13127911576516 is an equidigital number, since it uses as much as digits as its factorization.

13127911576516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 1219 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 55.

The spelling of 13127911576516 in words is "thirteen trillion, one hundred twenty-seven billion, nine hundred eleven million, five hundred seventy-six thousand, five hundred sixteen".

Divisors: 1 2 4 11 22 44 121 157 242 314 484 628 1049 1727 2098 3454 4196 6908 11539 18997 23078 24649 37994 46156 49298 75988 98596 126929 164693 253858 271139 329386 507716 542278 658772 1084556 1100401 1811623 2200802 2982529 3623246 4401604 5965058 7246492 11930116 12104411 19927853 24208822 25856801 39855706 48417644 51713602 79711412 103427204 133148521 172762957 266297042 284424811 345525914 532594084 568849622 691051828 1137699244 1900392527 3128672921 3800785054 6257345842 7601570108 12514691684 20904317797 27123784249 41808635594 54247568498 83617271188 108495136996 298361626739 596723253478 1193446506956 3281977894129 6563955788258 13127911576516