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110506551056 = 24114322365479
BaseRepresentation
bin110011011101010110…
…1000010011100010000
3101120020101120102210022
41212322231002130100
53302304134113211
6122433242523012
710661312120456
oct1467255023420
9346211512708
10110506551056
1142958081450
1219500506468
13a561436a65
1454c45a29d6
152d1b806bdb
hex19bab42710

110506551056 has 80 divisors (see below), whose sum is σ = 240077967360. Its totient is φ = 48841349760.

The previous prime is 110506551041. The next prime is 110506551061. The reversal of 110506551056 is 650155605011.

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 15 ways as a sum of consecutive naturals, for example, 1654925 + ... + 1720403.

It is an arithmetic number, because the mean of its divisors is an integer number (3000974592).

Almost surely, 2110506551056 is an apocalyptic number.

110506551056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110506551056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120038983680).

110506551056 is an abundant number, since it is smaller than the sum of its proper divisors (129571416304).

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

110506551056 is a wasteful number, since it uses less digits than its factorization.

110506551056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65764 (or 65758 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 110506551056 in words is "one hundred ten billion, five hundred six million, five hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 223 344 446 473 688 892 946 1784 1892 2453 3568 3784 4906 7568 9589 9812 19178 19624 38356 39248 65479 76712 105479 130958 153424 210958 261916 421916 523832 720269 843832 1047664 1440538 1687664 2815597 2881076 5631194 5762152 11262388 11524304 14601817 22524776 29203634 30971567 45049552 58407268 61943134 116814536 123886268 160619987 233629072 247772536 321239974 495545072 627878131 642479948 1255756262 1284959896 2511512524 2569919792 5023025048 6906659441 10046050096 13813318882 27626637764 55253275528 110506551056