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11077052448 = 2537112235923
BaseRepresentation
bin10100101000011111…
…00110100000100000
31001120222102120022210
422110033212200200
5140141211134243
65031055402120
7541333251360
oct122417464040
931528376283
1011077052448
114774786500
122191823340
131076b95207
1477120a9a0
1544c70e933
hex2943e6820

11077052448 has 288 divisors, whose sum is σ = 38121366528. Its totient is φ = 2751598080.

The previous prime is 11077052359. The next prime is 11077052473. The reversal of 11077052448 is 84425077011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1867215 + ... + 1873137.

It is an arithmetic number, because the mean of its divisors is an integer number (132365856).

Almost surely, 211077052448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11077052448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19060683264).

11077052448 is an abundant number, since it is smaller than the sum of its proper divisors (27044314080).

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

11077052448 is a wasteful number, since it uses less digits than its factorization.

11077052448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 11077052448 in words is "eleven billion, seventy-seven million, fifty-two thousand, four hundred forty-eight".