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11330012032 = 27176777691
BaseRepresentation
bin10101000110101001…
…00100001110000000
31002020121102020122021
422203110210032000
5141200440341112
65112133251224
7550524341023
oct124324441600
932217366567
1011330012032
114894550809
122242493b14
1310b7402a41
14796a571ba
15464a2a907
hex2a3524380

11330012032 has 64 divisors (see below), whose sum is σ = 23937657840. Its totient is φ = 5323202560.

The previous prime is 11330012003. The next prime is 11330012033. The reversal of 11330012032 is 23021003311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11330011997 and 11330012015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330012033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1469307 + ... + 1476997.

Almost surely, 211330012032 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 11330012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11968828920).

11330012032 is an abundant number, since it is smaller than the sum of its proper divisors (12607645808).

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

11330012032 is an equidigital number, since it uses as much as digits as its factorization.

11330012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8399 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11330012032 its reverse (23021003311), we get a palindrome (34351015343).

The spelling of 11330012032 in words is "eleven billion, three hundred thirty million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 677 1088 1354 2176 2708 5416 7691 10832 11509 15382 21664 23018 30764 43328 46036 61528 86656 92072 123056 130747 184144 246112 261494 368288 492224 522988 736576 984448 1045976 1473152 2091952 4183904 5206807 8367808 10413614 16735616 20827228 41654456 83308912 88515719 166617824 177031438 333235648 354062876 666471296 708125752 1416251504 2832503008 5665006016 11330012032