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6969145728 = 273231136983
BaseRepresentation
bin1100111110110010…
…01011100110000000
3122222200200021200110
412133121023212000
5103233100130403
63111312551320
7334462522056
oct63731134600
918880607613
106969145728
112a569a0376
121425b52540
13870ac218c
144a18081d6
152abc72103
hex19f64b980

6969145728 has 128 divisors (see below), whose sum is σ = 19490388480. Its totient is φ = 2202066944.

The previous prime is 6969145663. The next prime is 6969145747. The reversal of 6969145728 is 8275419696.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994525 + ... + 1001507.

It is an arithmetic number, because the mean of its divisors is an integer number (152268660).

Almost surely, 26969145728 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 6969145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9745194240).

6969145728 is an abundant number, since it is smaller than the sum of its proper divisors (12521242752).

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

6969145728 is a wasteful number, since it uses less digits than its factorization.

6969145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 7124 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The square root of 6969145728 is about 83481.4094754036. The cubic root of 6969145728 is about 1910.1164670443.

The spelling of 6969145728 in words is "six billion, nine hundred sixty-nine million, one hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 113 128 138 184 192 226 276 339 368 384 452 552 678 736 904 1104 1356 1472 1808 2208 2599 2712 2944 3616 4416 5198 5424 6983 7232 7797 8832 10396 10848 13966 14464 15594 20792 20949 21696 27932 31188 41584 41898 43392 55864 62376 83168 83796 111728 124752 160609 166336 167592 223456 249504 321218 332672 335184 446912 481827 499008 642436 670368 789079 893824 963654 998016 1284872 1340736 1578158 1927308 2367237 2569744 2681472 3156316 3854616 4734474 5139488 6312632 7709232 9468948 10278976 12625264 15418464 18148817 18937896 20557952 25250528 30836928 36297634 37875792 50501056 54446451 61673856 72595268 75751584 101002112 108892902 145190536 151503168 217785804 290381072 303006336 435571608 580762144 871143216 1161524288 1742286432 2323048576 3484572864 6969145728