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110955131456 = 2613181736793
BaseRepresentation
bin110011101010101110…
…0001111001001000000
3101121101122122200102012
41213111130033021000
53304214003201311
6122545545312052
711005400025161
oct1472534171100
9347348580365
10110955131456
1143068308554
1219606795628
13a603357550
145527db1768
152d45db478b
hex19d570f240

110955131456 has 56 divisors (see below), whose sum is σ = 238423591224. Its totient is φ = 50927063040.

The previous prime is 110955131431. The next prime is 110955131503. The reversal of 110955131456 is 654131559011.

It can be written as a sum of positive squares in 4 ways, for example, as 985960000 + 109969171456 = 31400^2 + 331616^2 .

It is a super-2 number, since 2×1109551314562 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 217805 + ... + 518988.

It is an arithmetic number, because the mean of its divisors is an integer number (4257564129).

Almost surely, 2110955131456 is an apocalyptic number.

110955131456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

110955131456 is an abundant number, since it is smaller than the sum of its proper divisors (127468459768).

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

110955131456 is a wasteful number, since it uses less digits than its factorization.

110955131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736999 (or 736989 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 41.

The spelling of 110955131456 in words is "one hundred ten billion, nine hundred fifty-five million, one hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 181 208 362 416 724 832 1448 2353 2896 4706 5792 9412 11584 18824 37648 75296 150592 736793 1473586 2947172 5894344 9578309 11788688 19156618 23577376 38313236 47154752 76626472 133359533 153252944 266719066 306505888 533438132 613011776 1066876264 1733673929 2133752528 3467347858 4267505056 6934695716 8535010112 13869391432 27738782864 55477565728 110955131456