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110381798968 = 23737612114139
BaseRepresentation
bin110011011001101000…
…1001001011000111000
3101112220200211101002121
41212303101021120320
53302030220031333
6122413025011024
710655235544660
oct1466321113070
9345820741077
10110381798968
11428a3714351
1219486783a74
13a541637b5c
1454b1bab1a0
152d108b332d
hex19b3449638

110381798968 has 128 divisors (see below), whose sum is σ = 248137689600. Its totient is φ = 45047923200.

The previous prime is 110381798929. The next prime is 110381798977. The reversal of 110381798968 is 869897183011.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 26666643 + ... + 26670781.

It is an arithmetic number, because the mean of its divisors is an integer number (1938575700).

Almost surely, 2110381798968 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 110381798968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124068844800).

110381798968 is an abundant number, since it is smaller than the sum of its proper divisors (137755890632).

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

110381798968 is a wasteful number, since it uses less digits than its factorization.

110381798968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 61.

The spelling of 110381798968 in words is "one hundred ten billion, three hundred eighty-one million, seven hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 61 74 122 148 211 244 259 296 422 427 488 518 844 854 1036 1477 1688 1708 2072 2257 2954 3416 4139 4514 5908 7807 8278 9028 11816 12871 15614 15799 16556 18056 25742 28973 31228 31598 33112 51484 54649 57946 62456 63196 90097 102968 109298 115892 126392 153143 180194 218596 231784 252479 306286 360388 437192 476227 504958 612572 720776 873329 952454 1009916 1072001 1225144 1746658 1767353 1904908 2019832 2144002 3333589 3493316 3534706 3809816 4288004 6113303 6667178 6986632 7069412 8576008 9341723 12226606 13334356 14138824 18683446 24453212 26668712 32313173 37366892 48906424 53273069 64626346 65392061 74733784 106546138 129252692 130784122 213092276 226192211 258505384 261568244 372911483 426184552 452384422 523136488 745822966 904768844 1491645932 1809537688 1971103553 2983291864 3942207106 7884414212 13797724871 15768828424 27595449742 55190899484 110381798968