Search a number
-
+
10532440440 = 23325178272081
BaseRepresentation
bin10011100111100100…
…00100100101111000
31000012000122102002200
421303302010211320
5133032301043230
64501042430200
7522001160304
oct116362044570
930160572080
1010532440440
114515319435
12205b362360
13cbb0c02a2
1471cb60d04
154199d3160
hex273c84978

10532440440 has 192 divisors, whose sum is σ = 36305249760. Its totient is φ = 2638970880.

The previous prime is 10532440417. The next prime is 10532440441. The reversal of 10532440440 is 4404423501.

It is a happy number.

It is a super-2 number, since 2×105324404402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532440441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5060200 + ... + 5062280.

Almost surely, 210532440440 is an apocalyptic number.

10532440440 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 10532440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18152624880).

10532440440 is an abundant number, since it is smaller than the sum of its proper divisors (25772809320).

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

10532440440 is a wasteful number, since it uses less digits than its factorization.

10532440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10532440440 its reverse (4404423501), we get a palindrome (14936863941).

The spelling of 10532440440 in words is "ten billion, five hundred thirty-two million, four hundred forty thousand, four hundred forty".