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10754660664 = 23321116218377
BaseRepresentation
bin10100000010000011…
…10001100100111000
31000202111210100221100
422001001301210320
5134011143120124
64535101411400
7530340051546
oct120101614470
930674710840
1010754660664
1146197a8810
122101869b60
131025157447
14740488d96
1542e27b1c9
hex281071938

10754660664 has 96 divisors (see below), whose sum is σ = 31798531440. Its totient is φ = 3256588800.

The previous prime is 10754660663. The next prime is 10754660669. The reversal of 10754660664 is 46606645701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10754660663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1279644 + ... + 1288020.

Almost surely, 210754660664 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 10754660664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899265720).

10754660664 is an abundant number, since it is smaller than the sum of its proper divisors (21043870776).

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

10754660664 is a wasteful number, since it uses less digits than its factorization.

10754660664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10021 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10754660664 in words is "ten billion, seven hundred fifty-four million, six hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1621 3242 4863 6484 8377 9726 12968 14589 16754 17831 19452 25131 29178 33508 35662 38904 50262 53493 58356 67016 71324 75393 92147 100524 106986 116712 142648 150786 160479 184294 201048 213972 276441 301572 320958 368588 427944 552882 603144 641916 737176 829323 1105764 1283832 1658646 2211528 3317292 6634584 13579117 27158234 40737351 54316468 81474702 108632936 122212053 149370287 162949404 244424106 298740574 325898808 448110861 488848212 597481148 896221722 977696424 1194962296 1344332583 1792443444 2688665166 3584886888 5377330332 10754660664