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6428805140856 = 233779535190523
BaseRepresentation
bin101110110001101001010…
…1001011001000101111000
3211202120212111001200122210
41131203102221121011320
51320312143104001411
621401204033215120
71232315533033530
oct135432251310570
924676774050583
106428805140856
1120594939a348a
12879b41a014a0
1337830664b987
141832278484c0
15b2364637ca6
hex5d8d2a59178

6428805140856 has 128 divisors (see below), whose sum is σ = 18604202803200. Its totient is φ = 1813191868800.

The previous prime is 6428805140843. The next prime is 6428805140861. The reversal of 6428805140856 is 6580415088246.

It is a junction number, because it is equal to n+sod(n) for n = 6428805140796 and 6428805140805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70973211 + ... + 71063733.

It is an arithmetic number, because the mean of its divisors is an integer number (145345334400).

Almost surely, 26428805140856 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 6428805140856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302101401600).

6428805140856 is an abundant number, since it is smaller than the sum of its proper divisors (12175397662344).

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

6428805140856 is a wasteful number, since it uses less digits than its factorization.

6428805140856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95969 (or 95965 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 57.

The spelling of 6428805140856 in words is "six trillion, four hundred twenty-eight billion, eight hundred five million, one hundred forty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 5351 6636 10702 13272 16053 21404 32106 37457 42808 64212 74914 90523 112371 128424 149828 181046 224742 271569 299656 362092 422729 449484 543138 633661 724184 845458 898968 1086276 1267322 1268187 1690916 1900983 2172552 2534644 2536374 2959103 3381832 3801966 5069288 5072748 5918206 7151317 7603932 8877309 10145496 11836412 14302634 15207864 17754618 21453951 23672824 28605268 35509236 42907902 50059219 57210536 71018472 85815804 100118438 150177657 171631608 200236876 300355314 400473752 484388573 600710628 968777146 1201421256 1453165719 1937554292 2906331438 3390720011 3875108584 5812662876 6781440022 10172160033 11625325752 13562880044 20344320066 27125760088 38266697267 40688640132 76533394534 81377280264 114800091801 153066789068 229600183602 267866880869 306133578136 459200367204 535733761738 803600642607 918400734408 1071467523476 1607201285214 2142935046952 3214402570428 6428805140856