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11388117568 = 266715971663
BaseRepresentation
bin10101001101100100…
…01110001001000000
31002101122202022110011
422212302032021000
5141310324230233
65122010514304
7552131254642
oct124662161100
932348668404
1011388117568
114914328313
122259a35994
1310c6468609
147a0660892
15469ba70cd
hex2a6c8e240

11388117568 has 56 divisors (see below), whose sum is σ = 22963745792. Its totient is φ = 5602189824.

The previous prime is 11388117563. The next prime is 11388117569. The reversal of 11388117568 is 86571188311.

It is not an unprimeable number, because it can be changed into a prime (11388117563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6847105 + ... + 6848767.

Almost surely, 211388117568 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 11388117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481872896).

11388117568 is an abundant number, since it is smaller than the sum of its proper divisors (11575628224).

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

11388117568 is a wasteful number, since it uses less digits than its factorization.

11388117568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3329 counting only the distinct ones).

The product of its digits is 322560, while the sum is 49.

The spelling of 11388117568 in words is "eleven billion, three hundred eighty-eight million, one hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1072 1597 1663 2144 3194 3326 4288 6388 6652 12776 13304 25552 26608 51104 53216 102208 106432 106999 111421 213998 222842 427996 445684 855992 891368 1711984 1782736 2655811 3423968 3565472 5311622 6847936 7130944 10623244 21246488 42492976 84985952 169971904 177939337 355878674 711757348 1423514696 2847029392 5694058784 11388117568