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634234516316244 = 223322359534423697
BaseRepresentation
bin1001000000110101010011101…
…1000011001010000001010100
310002011122020010221002212012000
42100031110323003022001110
51131112244242134104434
610124523151532155300
7250406634363523224
oct22015247303120124
93064566127085160
10634234516316244
111740a5391001058
125b172a94308b30
13212b809acc5b1c
14b289185bda084
154d4cd66762b99
hex240d53b0ca054

634234516316244 has 96 divisors (see below), whose sum is σ = 1651963131786240. Its totient is φ = 210428070027264.

The previous prime is 634234516316237. The next prime is 634234516316249. The reversal of 634234516316244 is 442613615432436.

634234516316244 is a `hidden beast` number, since 6 + 3 + 4 + 2 + 3 + 4 + 5 + 1 + 6 + 3 + 1 + 624 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634234516316249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141160204 + ... + 145583900.

It is an arithmetic number, because the mean of its divisors is an integer number (17207949289440).

Almost surely, 2634234516316244 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 634234516316244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825981565893120).

634234516316244 is an abundant number, since it is smaller than the sum of its proper divisors (1017728615469996).

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

634234516316244 is a wasteful number, since it uses less digits than its factorization.

634234516316244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429886 (or 4429878 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 54.

The spelling of 634234516316244 in words is "six hundred thirty-four trillion, two hundred thirty-four billion, five hundred sixteen million, three hundred sixteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 2007 2676 4014 5953 6021 8028 11906 12042 17859 23812 24084 35718 53577 71436 107154 160731 214308 321462 642924 1327519 2655038 3982557 4423697 5310076 7965114 8847394 11947671 13271091 15930228 17694788 23895342 26542182 35843013 39813273 47790684 53084364 71686026 79626546 119439819 143372052 159253092 238879638 477759276 986484431 1972968862 2959453293 3945937724 5918906586 8878359879 11837813172 17756719758 26334268241 26635079637 35513439516 52668536482 53270159274 79002804723 105337072964 106540318548 158005609446 237008414169 316011218892 474016828338 711025242507 948033656676 1422050485014 2844100970028 5872541817743 11745083635486 17617625453229 23490167270972 35235250906458 52852876359687 70470501812916 105705752719374 158558629079061 211411505438748 317117258158122 634234516316244