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110999953856 = 26115316318251
BaseRepresentation
bin110011101100000011…
…1001110000111000000
3101121111202222220012002
41213120013032013000
53304311442010411
6122554230123132
711006453016551
oct1473007160700
9347452886162
10110999953856
1143090642260
12196197b04a8
13a60c71c08c
14552dd1c328
152d49cba33b
hex19d81ce1c0

110999953856 has 112 divisors (see below), whose sum is σ = 246338921088. Its totient is φ = 49196160000.

The previous prime is 110999953847. The next prime is 110999953859. The reversal of 110999953856 is 658359999011.

It is a junction number, because it is equal to n+sod(n) for n = 110999953792 and 110999953801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110999953859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6072731 + ... + 6090981.

Almost surely, 2110999953856 is an apocalyptic number.

110999953856 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 110999953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123169460544).

110999953856 is an abundant number, since it is smaller than the sum of its proper divisors (135338967232).

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

110999953856 is a wasteful number, since it uses less digits than its factorization.

110999953856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18490 (or 18480 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 65.

The spelling of 110999953856 in words is "one hundred ten billion, nine hundred ninety-nine million, nine hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 163 176 212 326 352 424 583 652 704 848 1166 1304 1696 1793 2332 2608 3392 3586 4664 5216 7172 8639 9328 10432 14344 17278 18251 18656 28688 34556 36502 37312 57376 69112 73004 95029 114752 138224 146008 190058 200761 276448 292016 380116 401522 552896 584032 760232 803044 967303 1168064 1520464 1606088 1934606 2974913 3040928 3212176 3869212 5949826 6081856 6424352 7738424 10640333 11899652 12848704 15476848 21280666 23799304 30953696 32724043 42561332 47598608 61907392 65448086 85122664 95197216 130896172 157670389 170245328 190394432 261792344 315340778 340490656 523584688 630681556 680981312 1047169376 1261363112 1734374279 2094338752 2522726224 3468748558 5045452448 6937497116 10090904896 13874994232 27749988464 55499976928 110999953856