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3545113728 = 273131076637
BaseRepresentation
bin1101001101001110…
…0010010010000000
3100011001202102210110
43103103202102000
524230022114403
61343440031320
7153564653352
oct32323422200
910131672713
103545113728
11155a140462
1282b302540
13446603940
14258b830d2
1515b36e103
hexd34e2480

3545113728 has 128 divisors (see below), whose sum is σ = 10237389120. Its totient is φ = 1080446976.

The previous prime is 3545113723. The next prime is 3545113753. The reversal of 3545113728 is 8273115453.

It is a happy number.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3545113723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530826 + ... + 537462.

Almost surely, 23545113728 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 3545113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118694560).

3545113728 is an abundant number, since it is smaller than the sum of its proper divisors (6692275392).

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

3545113728 is a wasteful number, since it uses less digits than its factorization.

3545113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6762 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 3545113728 is about 59540.8576357445. The cubic root of 3545113728 is about 1524.7900781370.

The spelling of 3545113728 in words is "three billion, five hundred forty-five million, one hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 128 156 192 208 214 312 321 384 416 428 624 642 832 856 1248 1284 1391 1664 1712 2496 2568 2782 3424 4173 4992 5136 5564 6637 6848 8346 10272 11128 13274 13696 16692 19911 20544 22256 26548 33384 39822 41088 44512 53096 66768 79644 86281 89024 106192 133536 159288 172562 178048 212384 258843 267072 318576 345124 424768 517686 534144 637152 690248 710159 849536 1035372 1274304 1380496 1420318 2070744 2130477 2548608 2760992 2840636 4141488 4260954 5521984 5681272 8282976 8521908 9232067 11043968 11362544 16565952 17043816 18464134 22725088 27696201 33131904 34087632 36928268 45450176 55392402 68175264 73856536 90900352 110784804 136350528 147713072 221569608 272701056 295426144 443139216 590852288 886278432 1181704576 1772556864 3545113728