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95374228231660 = 22575386314894171
BaseRepresentation
bin10101101011111000001010…
…111111101001010111101100
3110111200200112221122021220211
4111223320022333221113230
5100000102404411403120
6534502152055552204
726042363166645220
oct2553701277512754
9414620487567824
1095374228231660
1128430a8a488014
12a8441b808b664
13412a99c309a61
14197a1cc988780
15b05d8117725a
hex56be0afe95ec

95374228231660 has 96 divisors (see below), whose sum is σ = 233487236247552. Its totient is φ = 32045581251840.

The previous prime is 95374228231637. The next prime is 95374228231679. The reversal of 95374228231660 is 6613282247359.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 95374228231595 and 95374228231604.

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, 1043626 + ... + 13850545.

It is an arithmetic number, because the mean of its divisors is an integer number (2432158710912).

It is a 2-persistent number, because it is pandigital, and so is 2⋅95374228231660 = 190748456463320, but 3⋅95374228231660 = 286122684694980 is not.

Almost surely, 295374228231660 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 95374228231660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116743618123776).

95374228231660 is an abundant number, since it is smaller than the sum of its proper divisors (138113008015892).

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

95374228231660 is a wasteful number, since it uses less digits than its factorization.

95374228231660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14895103 (or 14895101 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 95374228231660 in words is "ninety-five trillion, three hundred seventy-four billion, two hundred twenty-eight million, two hundred thirty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 863 1060 1484 1726 1855 3452 3710 4315 6041 7420 8630 12082 17260 24164 30205 45739 60410 91478 120820 182956 228695 320173 457390 640346 914780 1280692 1600865 3201730 6403460 14894171 29788342 59576684 74470855 104259197 148941710 208518394 297883420 417036788 521295985 789391063 1042591970 1578782126 2085183940 3157564252 3946955315 5525737441 7893910630 11051474882 12853669573 15787821260 22102949764 25707339146 27628687205 51414678292 55257374410 64268347865 89975687011 110514748820 128536695730 179951374022 257073391460 359902748044 449878435055 681244487369 899756870110 1362488974738 1799513740220 2724977949476 3406222436845 4768711411583 6812444873690 9537422823166 13624889747380 19074845646332 23843557057915 47687114115830 95374228231660