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11055166016 = 262317941957
BaseRepresentation
bin10100100101111000…
…00111001001000000
31001112110020121210012
422102330013021000
5140120110303031
65024554324052
7540646234466
oct122274071100
931473217705
1011055166016
114763397944
122186429628
1310724a126b
1476c350836
1544a839b2b
hex292f07240

11055166016 has 56 divisors (see below), whose sum is σ = 23019837120. Its totient is φ = 5257590272.

The previous prime is 11055165997. The next prime is 11055166021. The reversal of 11055166016 is 61066155011.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242510 + ... + 284466.

It is an arithmetic number, because the mean of its divisors is an integer number (411068520).

Almost surely, 211055166016 is an apocalyptic number.

11055166016 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 11055166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509918560).

11055166016 is an abundant number, since it is smaller than the sum of its proper divisors (11964671104).

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

11055166016 is a wasteful number, since it uses less digits than its factorization.

11055166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42171 (or 42161 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 11055166016 in words is "eleven billion, fifty-five million, one hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 179 184 358 368 716 736 1432 1472 2864 4117 5728 8234 11456 16468 32936 41957 65872 83914 131744 167828 263488 335656 671312 965011 1342624 1930022 2685248 3860044 7510303 7720088 15020606 15440176 30041212 30880352 60082424 61760704 120164848 172736969 240329696 345473938 480659392 690947876 1381895752 2763791504 5527583008 11055166016