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13168122922752 = 28377931005413
BaseRepresentation
bin1011111110011111000101…
…0010100000011100000000
31201121212020010102220111020
42333213301102200130000
53211221303432012002
644001204022145440
72526236235021210
oct277476122403400
951555203386436
1013168122922752
11421762a108a56
1215880a1882280
13746996a764b5
143374aa680240
1517c7ee3012bc
hexbf9f14a0700

13168122922752 has 144 divisors (see below), whose sum is σ = 40560042378240. Its totient is φ = 3714696400896.

The previous prime is 13168122922723. The next prime is 13168122922753. The reversal of 13168122922752 is 25722922186131.

It is a super-2 number, since 2×131681229227522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13168122922695 and 13168122922704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13168122922753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15078003 + ... + 15927410.

It is an arithmetic number, because the mean of its divisors is an integer number (281666960960).

Almost surely, 213168122922752 is an apocalyptic number.

13168122922752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13168122922752 is an abundant number, since it is smaller than the sum of its proper divisors (27391919455488).

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

13168122922752 is an equidigital number, since it uses as much as digits as its factorization.

13168122922752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31005518 (or 31005504 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 13168122922752 in words is "thirteen trillion, one hundred sixty-eight billion, one hundred twenty-two million, nine hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 553 632 672 768 896 948 1106 1264 1344 1659 1792 1896 2212 2528 2688 3318 3792 4424 5056 5376 6636 7584 8848 10112 13272 15168 17696 20224 26544 30336 35392 53088 60672 70784 106176 141568 212352 424704 31005413 62010826 93016239 124021652 186032478 217037891 248043304 372064956 434075782 496086608 651113673 744129912 868151564 992173216 1302227346 1488259824 1736303128 1984346432 2449427627 2604454692 2976519648 3472606256 3968692864 4898855254 5208909384 5953039296 6945212512 7348282881 7937385728 9797710508 10417818768 11906078592 13890425024 14696565762 17145993389 19595421016 20835637536 23812157184 27780850048 29393131524 34291986778 39190842032 41671275072 51437980167 55561700096 58786263048 68583973556 78381684064 83342550144 102875960334 117572526096 137167947112 156763368128 166685100288 205751920668 235145052192 274335894224 313526736256 411503841336 470290104384 548671788448 627053472512 823007682672 940580208768 1097343576896 1646015365344 1881160417536 2194687153792 3292030730688 4389374307584 6584061461376 13168122922752