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11552004040 = 2354743913997
BaseRepresentation
bin10101100001000110…
…11001011111001000
31002211002010121102111
422300203121133020
5142124303112130
65150143312104
7556161262033
oct126043313710
932732117374
1011552004040
114998894685
1222a48ab634
1311213ba065
147b832201a
1547927b02a
hex2b08d97c8

11552004040 has 64 divisors (see below), whose sum is σ = 26607398400. Its totient is φ = 4511862528.

The previous prime is 11552004029. The next prime is 11552004071. The reversal of 11552004040 is 4040025511.

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, 818322 + ... + 832318.

It is an arithmetic number, because the mean of its divisors is an integer number (415740600).

Almost surely, 211552004040 is an apocalyptic number.

11552004040 is a gapful number since it is divisible by the number (10) 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 11552004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13303699200).

11552004040 is an abundant number, since it is smaller than the sum of its proper divisors (15055394360).

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

11552004040 is a wasteful number, since it uses less digits than its factorization.

11552004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14494 (or 14490 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 11552004040 its reverse (4040025511), we get a palindrome (15592029551).

The spelling of 11552004040 in words is "eleven billion, five hundred fifty-two million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 439 470 878 940 1756 1880 2195 3512 4390 8780 13997 17560 20633 27994 41266 55988 69985 82532 103165 111976 139970 165064 206330 279940 412660 559880 657859 825320 1315718 2631436 3289295 5262872 6144683 6578590 12289366 13157180 24578732 26314360 30723415 49157464 61446830 122893660 245787320 288800101 577600202 1155200404 1444000505 2310400808 2888001010 5776002020 11552004040