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11338083088 = 241753898837
BaseRepresentation
bin10101000111100110…
…10110101100010000
31002021011121022001021
422203303112230100
5141210022124323
65113022245224
7550653054553
oct124363265420
932234538037
1011338083088
114899063702
122245126814
1310b8c9a607
14797b5869a
154655c205d
hex2a3cd6b10

11338083088 has 80 divisors (see below), whose sum is σ = 23967595440. Its totient is φ = 5175492608.

The previous prime is 11338083067. The next prime is 11338083089. The reversal of 11338083088 is 88038083311.

It can be written as a sum of positive squares in 8 ways, for example, as 2401784064 + 8936299024 = 49008^2 + 94532^2 .

It is a super-2 number, since 2×113380830882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11338083089) 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, 1278606 + ... + 1287442.

It is an arithmetic number, because the mean of its divisors is an integer number (299594943).

Almost surely, 211338083088 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 11338083088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983797720).

11338083088 is an abundant number, since it is smaller than the sum of its proper divisors (12629512352).

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

11338083088 is a wasteful number, since it uses less digits than its factorization.

11338083088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9004 (or 8998 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 11338083088 in words is "eleven billion, three hundred thirty-eight million, eighty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 34 53 68 89 106 136 178 212 272 356 424 712 848 901 1424 1513 1802 3026 3604 4717 6052 7208 8837 9434 12104 14416 17674 18868 24208 35348 37736 70696 75472 80189 141392 150229 160378 300458 320756 468361 600916 641512 786493 936722 1201832 1283024 1572986 1873444 2403664 3145972 3746888 6291944 7493776 7962137 12583888 13370381 15924274 26740762 31848548 41684129 53481524 63697096 83368258 106963048 127394192 166736516 213926096 333473032 666946064 708630193 1417260386 2834520772 5669041544 11338083088