Search a number
-
+
13550404000 = 255372353397
BaseRepresentation
bin11001001111010101…
…01100000110100000
31021222100110211210211
430213222230012200
5210222400412000
610120332103504
7656535351010
oct144752540640
937870424724
1013550404000
1158239390a1
122762004b94
13137c424043
149278c1c40
155449247ba
hex327aac1a0

13550404000 has 384 divisors, whose sum is σ = 40554888192. Its totient is φ = 4349030400.

The previous prime is 13550403959. The next prime is 13550404033. The reversal of 13550404000 is 40405531.

It is a super-2 number, since 2×135504040002 (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 63 ways as a sum of consecutive naturals, for example, 34131802 + ... + 34132198.

It is an arithmetic number, because the mean of its divisors is an integer number (105611688).

Almost surely, 213550404000 is an apocalyptic number.

13550404000 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 13550404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20277444096).

13550404000 is an abundant number, since it is smaller than the sum of its proper divisors (27004484192).

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

13550404000 is a wasteful number, since it uses less digits than its factorization.

13550404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 13550404000 its reverse (40405531), we get a palindrome (13590809531).

The spelling of 13550404000 in words is "thirteen billion, five hundred fifty million, four hundred four thousand".