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11333885472 = 253671319281
BaseRepresentation
bin10101000111000110…
…10101111000100000
31002020212201001000000
422203203111320200
5141202433313342
65112352300000
7550602302610
oct124343257040
932225631000
1011333885472
1148967569a8
122243841600
1310b815ab10
14797384a40
1546504344c
hex2a38d5e20

11333885472 has 672 divisors, whose sum is σ = 43496853120. Its totient is φ = 2821754880.

The previous prime is 11333885449. The next prime is 11333885483. The reversal of 11333885472 is 27458833311.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40333972 + ... + 40334252.

It is an arithmetic number, because the mean of its divisors is an integer number (64727460).

Almost surely, 211333885472 is an apocalyptic number.

11333885472 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 11333885472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748426560).

11333885472 is an abundant number, since it is smaller than the sum of its proper divisors (32162967648).

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

11333885472 is a wasteful number, since it uses less digits than its factorization.

11333885472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 11333885472 in words is "eleven billion, three hundred thirty-three million, eight hundred eighty-five thousand, four hundred seventy-two".