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11643264448 = 261916695737
BaseRepresentation
bin10101101011111111…
…00001110111000000
31010001102212010011121
422311333201313000
5142321133430243
65203203322024
7561350054254
oct126577416700
933042763147
1011643264448
114a35356a02
12230b380314
1311372908ba
147c64ba264
154822a61ed
hex2b5fe1dc0

11643264448 has 56 divisors (see below), whose sum is σ = 24339448400. Its totient is φ = 5510965248.

The previous prime is 11643264439. The next prime is 11643264449. The reversal of 11643264448 is 84446234611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11643264449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2026636 + ... + 2032372.

Almost surely, 211643264448 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 11643264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169724200).

11643264448 is an abundant number, since it is smaller than the sum of its proper divisors (12696183952).

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

11643264448 is a wasteful number, since it uses less digits than its factorization.

11643264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7427 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The spelling of 11643264448 in words is "eleven billion, six hundred forty-three million, two hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1669 3338 5737 6676 11474 13352 22948 26704 31711 45896 53408 63422 91792 106816 109003 126844 183584 218006 253688 367168 436012 507376 872024 1014752 1744048 2029504 3488096 6976192 9575053 19150106 38300212 76600424 153200848 181926007 306401696 363852014 612803392 727704028 1455408056 2910816112 5821632224 11643264448