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11304554352 = 24371337113619
BaseRepresentation
bin10101000011100110…
…11100111101110000
31002011211111212021020
422201303130331300
5141122431214402
65105423455440
7550065061260
oct124163347560
932154455236
1011304554352
114881143003
122235a57580
1310b205b420
1479350b7a0
1546269c8bc
hex2a1cdcf70

11304554352 has 320 divisors, whose sum is σ = 37300945920. Its totient is φ = 2870525952.

The previous prime is 11304554341. The next prime is 11304554369. The reversal of 11304554352 is 25345540311.

It is a super-3 number, since 3×113045543523 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18262299 + ... + 18262917.

It is an arithmetic number, because the mean of its divisors is an integer number (116565456).

Almost surely, 211304554352 is an apocalyptic number.

11304554352 is a gapful number since it is divisible by the number (12) 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 11304554352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650472960).

11304554352 is an abundant number, since it is smaller than the sum of its proper divisors (25996391568).

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

11304554352 is a wasteful number, since it uses less digits than its factorization.

11304554352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 11304554352 in words is "eleven billion, three hundred four million, five hundred fifty-four thousand, three hundred fifty-two".