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11272549344 = 2537311793023
BaseRepresentation
bin10100111111110010…
…10111001111100000
31002002121021211122120
422133321113033200
5141041233034334
65102321504240
7546226042230
oct123771271740
932077254576
1011272549344
114865073191
1222271a2080
1310a8533954
1478d179cc0
1545e979949
hex29fe573e0

11272549344 has 192 divisors, whose sum is σ = 35115171840. Its totient is φ = 3098396160.

The previous prime is 11272549331. The next prime is 11272549361. The reversal of 11272549344 is 44394527211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11272549296 and 11272549305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3727417 + ... + 3730439.

It is an arithmetic number, because the mean of its divisors is an integer number (182891520).

Almost surely, 211272549344 is an apocalyptic number.

11272549344 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 11272549344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557585920).

11272549344 is an abundant number, since it is smaller than the sum of its proper divisors (23842622496).

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

11272549344 is a wasteful number, since it uses less digits than its factorization.

11272549344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3245 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The spelling of 11272549344 in words is "eleven billion, two hundred seventy-two million, five hundred forty-nine thousand, three hundred forty-four".