Search a number
-
+
11294073504 = 25327416333
BaseRepresentation
bin10101000010010110…
…11110001010100000
31002011002210101020200
422201023132022200
5141112240323004
65104411105200
7546610020000
oct124113361240
932132711220
1011294073504
11487623464a
122232442200
1310acb2ba3c
14791d80000
154617cc239
hex2a12de2a0

11294073504 has 180 divisors, whose sum is σ = 37470506346. Its totient is φ = 3226680576.

The previous prime is 11294073503. The next prime is 11294073509. The reversal of 11294073504 is 40537049211.

11294073504 is a `hidden beast` number, since 11 + 294 + 0 + 7 + 350 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11077983504 + 216090000 = 105252^2 + 14700^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11294073503) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 683322 + ... + 699654.

Almost surely, 211294073504 is an apocalyptic number.

11294073504 is a gapful number since it is divisible by the number (14) 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 11294073504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735253173).

11294073504 is an abundant number, since it is smaller than the sum of its proper divisors (26176432842).

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

11294073504 is an equidigital number, since it uses as much as digits as its factorization.

11294073504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16377 (or 16345 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11294073504 in words is "eleven billion, two hundred ninety-four million, seventy-three thousand, five hundred four".