Search a number
-
+
11428162560 = 210335192229
BaseRepresentation
bin10101010010010101…
…11110110000000000
31002111110002210212000
422221022332300000
5141401102200220
65130001104000
7553125531123
oct125112766000
932443083760
1011428162560
114934999751
12226b328000
131101849789
147a5ac63ba
1546d467390
hex2a92bec00

11428162560 has 528 divisors, whose sum is σ = 43050866400. Its totient is φ = 2874507264.

The previous prime is 11428162553. The next prime is 11428162567. The reversal of 11428162560 is 6526182411.

It is a happy number.

11428162560 is a `hidden beast` number, since 1 + 1 + 4 + 28 + 1 + 625 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11428162553) and next prime (11428162567).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11428162567) 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, 49904526 + ... + 49904754.

Almost surely, 211428162560 is an apocalyptic number.

11428162560 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 11428162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525433200).

11428162560 is an abundant number, since it is smaller than the sum of its proper divisors (31622703840).

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

11428162560 is a wasteful number, since it uses less digits than its factorization.

11428162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11428162560 in words is "eleven billion, four hundred twenty-eight million, one hundred sixty-two thousand, five hundred sixty".