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11274390000 = 24345431449
BaseRepresentation
bin10101000000000000…
…11000100111110000
31002002201202100120000
422200000120213300
5141042220440000
65102425150000
7546250506456
oct124000304760
932081670500
1011274390000
114866110095
12222792b300
1310a8a296b3
1478d4d89d6
1545ebe0000
hex2a00189f0

11274390000 has 500 divisors, whose sum is σ = 42185246400. Its totient is φ = 2903040000.

The previous prime is 11274389999. The next prime is 11274390007. The reversal of 11274390000 is 9347211.

11274390000 is a `hidden beast` number, since 1 + 1 + 274 + 390 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×112743900002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11274390007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 25109776 + ... + 25110224.

Almost surely, 211274390000 is an apocalyptic number.

11274390000 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 11274390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092623200).

11274390000 is an abundant number, since it is smaller than the sum of its proper divisors (30910856400).

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

11274390000 is an equidigital number, since it uses as much as digits as its factorization.

11274390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 11274390000 in words is "eleven billion, two hundred seventy-four million, three hundred ninety thousand".