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110091419954992 = 247231132771365367
BaseRepresentation
bin11001000010000010100111…
…111110101010111100110000
3112102210122012100022200022001
4121002002213332222330300
5103412214212002024432
61030051144454423344
732121562005356560
oct3102024776527460
9472718170280261
10110091419954992
113209556653a503
1210420555961b54
13495776533ac98
141d2864b666da0
15cadae55769e7
hex6420a7faaf30

110091419954992 has 160 divisors (see below), whose sum is σ = 257550436288512. Its totient is φ = 44569740644352.

The previous prime is 110091419954899. The next prime is 110091419955089. The reversal of 110091419954992 is 299459914190011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79948693 + ... + 81314059.

Almost surely, 2110091419954992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110091419954992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128775218144256).

110091419954992 is an abundant number, since it is smaller than the sum of its proper divisors (147459016333520).

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

110091419954992 is a wasteful number, since it uses less digits than its factorization.

110091419954992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365795 (or 1365789 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 64.

The spelling of 110091419954992 in words is "one hundred ten trillion, ninety-one billion, four hundred nineteen million, nine hundred fifty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 113 161 184 226 277 322 368 452 554 644 791 904 1108 1288 1582 1808 1939 2216 2576 2599 3164 3878 4432 5198 6328 6371 7756 10396 12656 12742 15512 18193 20792 25484 31024 31301 36386 41584 44597 50968 62602 72772 89194 101936 125204 145544 178388 219107 250408 291088 356776 438214 500816 713552 719923 876428 1365367 1439846 1752856 2730734 2879692 3505712 5039461 5461468 5759384 9557569 10078922 10922936 11518768 19115138 20157844 21845872 31403441 38230276 40315688 62806882 76460552 80631376 125613764 152921104 154286471 219824087 251227528 308572942 378206659 439648174 502455056 617145884 756413318 879296348 1080005297 1234291768 1512826636 1758592696 2160010594 2468583536 2647446613 3025653272 3517185392 3548588833 4320021188 5294893226 6051306544 7097177666 8640042376 8698753157 10589786452 14194355332 17280084752 17397506314 21179572904 24840121831 28388710664 34795012628 42359145808 42737352467 49680243662 56777421328 60891272099 69590025256 85474704934 99360487324 121782544198 139180050512 170949409868 198720974648 243565088396 299161467269 341898819736 397441949296 487130176792 598322934538 683797639472 974260353584 982959106741 1196645869076 1965918213482 2393291738152 3931836426964 4786583476304 6880713747187 7863672853928 13761427494374 15727345707856 27522854988748 55045709977496 110091419954992