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11343541248 = 2103213731297
BaseRepresentation
bin10101001000010000…
…01011010000000000
31002021112212121020100
422210020023100000
5141212421304443
65113335242400
7551050336554
oct124410132000
932245777210
1011343541248
1148a1151486
122246b19400
1310ba15bab0
14798779864
15465cee3d3
hex2a420b400

11343541248 has 264 divisors, whose sum is σ = 35784556808. Its totient is φ = 3439853568.

The previous prime is 11343541247. The next prime is 11343541259. The reversal of 11343541248 is 84214534311.

It can be written as a sum of positive squares in 4 ways, for example, as 3576996864 + 7766544384 = 59808^2 + 88128^2 .

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 (11343541243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8745336 + ... + 8746632.

Almost surely, 211343541248 is an apocalyptic number.

11343541248 is a gapful number since it is divisible by the number (18) 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 11343541248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892278404).

11343541248 is an abundant number, since it is smaller than the sum of its proper divisors (24441015560).

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

11343541248 is a wasteful number, since it uses less digits than its factorization.

11343541248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1388 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 11343541248 in words is "eleven billion, three hundred forty-three million, five hundred forty-one thousand, two hundred forty-eight".