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11296354420 = 2251343447517
BaseRepresentation
bin10101000010101000…
…01011000001110100
31002011021002021002001
422201110023001310
5141113331320140
65104532025044
7546635266621
oct124124130164
932137067061
1011296354420
1148775522aa
122233162184
1310b0449cb0
147923b5348
15461acce9a
hex2a150b074

11296354420 has 24 divisors (see below), whose sum is σ = 25547140584. Its totient is φ = 4170961536.

The previous prime is 11296354417. The next prime is 11296354423. The reversal of 11296354420 is 2445369211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11296354417) and next prime (11296354423).

It can be written as a sum of positive squares in 4 ways, for example, as 479522404 + 10816832016 = 21898^2 + 104004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11296354420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11296354423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21723499 + ... + 21724018.

It is an arithmetic number, because the mean of its divisors is an integer number (1064464191).

Almost surely, 211296354420 is an apocalyptic number.

11296354420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11296354420 is an abundant number, since it is smaller than the sum of its proper divisors (14250786164).

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

11296354420 is a wasteful number, since it uses less digits than its factorization.

11296354420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43447539 (or 43447537 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 11296354420 in words is "eleven billion, two hundred ninety-six million, three hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 43447517 86895034 173790068 217237585 434475170 564817721 868950340 1129635442 2259270884 2824088605 5648177210 11296354420