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11056561984 = 261313797001
BaseRepresentation
bin10100100110000010…
…11011111101000000
31001112112212112200201
422103001123331000
5140120434440414
65025044254544
7540664140406
oct122301337500
931475775621
1011056561984
114764160736
1221869a1454
13107286c790
1476c5d5476
1544aa13574
hex29305bf40

11056561984 has 56 divisors (see below), whose sum is σ = 23800798728. Its totient is φ = 5065728000.

The previous prime is 11056561979. The next prime is 11056562029. The reversal of 11056561984 is 48916565011.

It can be written as a sum of positive squares in 4 ways, for example, as 1477633600 + 9578928384 = 38440^2 + 97872^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65484 + ... + 162484.

It is an arithmetic number, because the mean of its divisors is an integer number (425014263).

Almost surely, 211056561984 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 11056561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900399364).

11056561984 is an abundant number, since it is smaller than the sum of its proper divisors (12744236744).

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

11056561984 is a wasteful number, since it uses less digits than its factorization.

11056561984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97163 (or 97153 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 11056561984 in words is "eleven billion, fifty-six million, five hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 137 208 274 416 548 832 1096 1781 2192 3562 4384 7124 8768 14248 28496 56992 97001 113984 194002 388004 776008 1261013 1552016 2522026 3104032 5044052 6208064 10088104 13289137 20176208 26578274 40352416 53156548 80704832 106313096 172758781 212626192 345517562 425252384 691035124 850504768 1382070248 2764140496 5528280992 11056561984