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5670777728 = 277114571259
BaseRepresentation
bin1010100100000000…
…10011001110000000
3112122012120100121202
411102000103032000
543103204341403
62334412240332
7260345546450
oct52200231600
915565510552
105670777728
112450008270
1211231700a8
136c4b08ca5
143bb1cdd60
15232ca5688
hex152013380

5670777728 has 128 divisors (see below), whose sum is σ = 14126918400. Its totient is φ = 2202808320.

The previous prime is 5670777727. The next prime is 5670777799. The reversal of 5670777728 is 8277770765.

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

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5670777727) 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, 4503563 + ... + 4504821.

It is an arithmetic number, because the mean of its divisors is an integer number (110366550).

Almost surely, 25670777728 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 5670777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063459200).

5670777728 is an abundant number, since it is smaller than the sum of its proper divisors (8456140672).

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

5670777728 is a wasteful number, since it uses less digits than its factorization.

5670777728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 8067360, while the sum is 56.

The square root of 5670777728 is about 75304.5664485229. The cubic root of 5670777728 is about 1783.2581121638.

The spelling of 5670777728 in words is "five billion, six hundred seventy million, seven hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 457 616 704 896 914 1232 1259 1408 1828 2464 2518 3199 3656 4928 5027 5036 6398 7312 8813 9856 10054 10072 12796 13849 14624 17626 20108 20144 25592 27698 29248 35189 35252 40216 40288 51184 55396 58496 70378 70504 80432 80576 96943 102368 110792 140756 141008 160864 161152 193886 204736 221584 281512 282016 321728 387772 409472 443168 563024 564032 575363 643456 775544 886336 1126048 1128064 1150726 1551088 1772672 2252096 2301452 3102176 4027541 4504192 4602904 6204352 6328993 8055082 9205808 12408704 12657986 16110164 18411616 25315972 32220328 36823232 44302951 50631944 64440656 73646464 88605902 101263888 128881312 177211804 202527776 257762624 354423608 405055552 515525248 708847216 810111104 1417694432 2835388864 5670777728