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13526160116994 = 235718869210713
BaseRepresentation
bin1100010011010100110111…
…1110000000110100000010
31202220002101100120212200000
43010311031332000310002
53233103033442220434
644433455425540430
72564142566660520
oct304651576006402
952802340525600
1013526160116994
11434545983a298
1216255637a4716
137716857ab655
1434a9536dd310
15186ca6c4ab99
hexc4d4df80d02

13526160116994 has 96 divisors (see below), whose sum is σ = 34735848900480. Its totient is φ = 3864394023552.

The previous prime is 13526160116977. The next prime is 13526160117077. The reversal of 13526160116994 is 49961106162531.

13526160116994 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 616 + 0 + 1 + 16 + 9 + 9 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13526160116994.

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 47 ways as a sum of consecutive naturals, for example, 64086982 + ... + 64297694.

It is an arithmetic number, because the mean of its divisors is an integer number (361831759380).

Almost surely, 213526160116994 is an apocalyptic number.

13526160116994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13526160116994 is an abundant number, since it is smaller than the sum of its proper divisors (21209688783486).

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

13526160116994 is a wasteful number, since it uses less digits than its factorization.

13526160116994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229606 (or 229594 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 13526160116994 in words is "thirteen trillion, five hundred twenty-six billion, one hundred sixty million, one hundred sixteen thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 18869 37738 56607 113214 132083 169821 210713 264166 339642 396249 421426 509463 632139 792498 1018926 1188747 1264278 1474991 1528389 1896417 2377494 2949982 3056778 3566241 3792834 4424973 4585167 5689251 7132482 8849946 9170334 10698723 11378502 13274919 17067753 21397446 26549838 32096169 34135506 39824757 51203259 64192338 79649514 102406518 119474271 238948542 358422813 716845626 3975943597 7951887194 11927830791 23855661582 27831605179 35783492373 55663210358 71566984746 83494815537 107350477119 166989631074 214700954238 250484446611 322051431357 500968893222 644102862714 751453339833 966154294071 1502906679666 1932308588142 2254360019499 4508720038998 6763080058497 13526160116994