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9991474556448 = 2537112122878229
BaseRepresentation
bin1001000101100101001001…
…0010101010111000100000
31022101011202001002211212210
42101121102102222320200
52302200014441301243
633130004155122120
72050601024306610
oct221312222527040
938334661084783
109991474556448
1132023a6a01100
1211544b8743340
13576265ac2278
14267838b68a40
15124d7b755933
hex916524aae20

9991474556448 has 144 divisors (see below), whose sum is σ = 32947094053440. Its totient is φ = 2595188175360.

The previous prime is 9991474556411. The next prime is 9991474556473. The reversal of 9991474556448 is 8446554741999.

It is a super-3 number, since 3×99914745564483 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9991474556448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61357803 + ... + 61520426.

It is an arithmetic number, because the mean of its divisors is an integer number (228799264260).

Almost surely, 29991474556448 is an apocalyptic number.

It is an amenable number.

9991474556448 is an abundant number, since it is smaller than the sum of its proper divisors (22955619496992).

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

9991474556448 is a wasteful number, since it uses less digits than its factorization.

9991474556448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122878271 (or 122878252 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 75.

The spelling of 9991474556448 in words is "nine trillion, nine hundred ninety-one billion, four hundred seventy-four million, five hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 121 132 154 168 176 224 231 242 264 308 336 352 363 462 484 528 616 672 726 847 924 968 1056 1232 1452 1694 1848 1936 2464 2541 2904 3388 3696 3872 5082 5808 6776 7392 10164 11616 13552 20328 27104 40656 81312 122878229 245756458 368634687 491512916 737269374 860147603 983025832 1351660519 1474538748 1720295206 1966051664 2580442809 2703321038 2949077496 3440590412 3932103328 4054981557 5160885618 5406642076 5898154992 6881180824 8109963114 9461623633 10321771236 10813284152 11796309984 13762361648 14868265709 16219926228 18923247266 20643542472 21626568304 27524723296 28384870899 29736531418 32439852456 37846494532 41287084944 43253136608 44604797127 56769741798 59473062836 64879704912 75692989064 82574169888 89209594254 104077859963 113539483596 118946125672 129759409824 151385978128 178419188508 208155719926 227078967192 237892251344 302771956256 312233579889 356838377016 416311439852 454157934384 475784502688 624467159778 713676754032 832622879704 908315868768 1248934319556 1427353508064 1665245759408 2497868639112 3330491518816 4995737278224 9991474556448