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11052505576 = 2376117331867
BaseRepresentation
bin10100100101100011…
…11101100111101000
31001112021020110100101
422102301331213220
5140113420134301
65024421315144
7540614514220
oct122261754750
931467213311
1011052505576
114761940032
122185565ab4
131071a7c338
1476bc5b080
1544a4b1701
hex292c7d9e8

11052505576 has 64 divisors (see below), whose sum is σ = 24098993280. Its totient is φ = 4653953280.

The previous prime is 11052505531. The next prime is 11052505589. The reversal of 11052505576 is 67550525011.

It is a super-2 number, since 2×110525055762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5918995 + ... + 5920861.

It is an arithmetic number, because the mean of its divisors is an integer number (376546770).

Almost surely, 211052505576 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 11052505576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12049496640).

11052505576 is an abundant number, since it is smaller than the sum of its proper divisors (13046487704).

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

11052505576 is a wasteful number, since it uses less digits than its factorization.

11052505576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 37.

The spelling of 11052505576 in words is "eleven billion, fifty-two million, five hundred five thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 1733 1867 3416 3466 3734 6932 7468 12131 13069 13864 14936 24262 26138 48524 52276 97048 104552 105713 113887 211426 227774 422852 455548 739991 797209 845704 911096 1479982 1594418 2959964 3188836 3235511 5919928 6377672 6471022 12942044 22648577 25884088 45297154 90594308 181188616 197366171 394732342 789464684 1381563197 1578929368 2763126394 5526252788 11052505576