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11243076480 = 273351738273
BaseRepresentation
bin10100111100010001…
…11011101110000000
31002000112211110111000
422132020323232000
5141011211421410
65055350052000
7545420400426
oct123610735600
932015743430
1011243076480
11484a472849
12221934a000
1310a23b489c
147892a7116
1545c0a6dc0
hex29e23bb80

11243076480 has 256 divisors, whose sum is σ = 42162638400. Its totient is φ = 2821718016.

The previous prime is 11243076371. The next prime is 11243076487. The reversal of 11243076480 is 8467034211.

11243076480 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 3 + 0 + 7 + 648 + 0 = 666.

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 (11243076487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274624 + ... + 312896.

Almost surely, 211243076480 is an apocalyptic number.

11243076480 is a gapful number since it is divisible by the number (10) 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 11243076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081319200).

11243076480 is an abundant number, since it is smaller than the sum of its proper divisors (30919561920).

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

11243076480 is a wasteful number, since it uses less digits than its factorization.

11243076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38318 (or 38300 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11243076480 in words is "eleven billion, two hundred forty-three million, seventy-six thousand, four hundred eighty".