Search a number
-
+
10163000440 = 2351991914551
BaseRepresentation
bin10010111011100001…
…10001010001111000
3222020021110220200201
421131300301101320
5131303212003230
64400244211544
7506564035615
oct113560612170
928207426621
1010163000440
11434582671a
121b77699bb4
13c5c6bb838
146c5a7350c
153e73595ca
hex25dc31478

10163000440 has 64 divisors (see below), whose sum is σ = 24098112000. Its totient is φ = 3846787200.

The previous prime is 10163000431. The next prime is 10163000443. The reversal of 10163000440 is 4400036101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10163000443) 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, 691165 + ... + 705715.

It is an arithmetic number, because the mean of its divisors is an integer number (376533000).

Almost surely, 210163000440 is an apocalyptic number.

10163000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10163000440 is the 58204-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10163000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12049056000).

10163000440 is an abundant number, since it is smaller than the sum of its proper divisors (13935111560).

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

10163000440 is a wasteful number, since it uses less digits than its factorization.

10163000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15500 (or 15496 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10163000440 its reverse (4400036101), we get a palindrome (14563036541).

The spelling of 10163000440 in words is "ten billion, one hundred sixty-three million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 919 1838 3676 4595 7352 9190 14551 17461 18380 29102 34922 36760 58204 69844 72755 87305 116408 139688 145510 174610 276469 291020 349220 552938 582040 698440 1105876 1382345 2211752 2764690 5529380 11058760 13372369 26744738 53489476 66861845 106978952 133723690 254075011 267447380 508150022 534894760 1016300044 1270375055 2032600088 2540750110 5081500220 10163000440