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16460750661654 = 2313477962119151
BaseRepresentation
bin1110111110001001000100…
…1100100010100000010110
32011021122002000102112200010
43233202101030202200112
54124143104132133104
655001544153501050
73316151514020235
oct357422114424026
964248060375603
1016460750661654
115276a68688062
121a1a254111786
1392531bc50510
1440c9c1538b1c
151d82adda5489
hexef891322816

16460750661654 has 128 divisors (see below), whose sum is σ = 36676506746880. Its totient is φ = 4893013008000.

The previous prime is 16460750661647. The next prime is 16460750661659. The reversal of 16460750661654 is 45616605706461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16460750661594 and 16460750661603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16460750661659) 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 63 ways as a sum of consecutive naturals, for example, 1798787979 + ... + 1798797129.

It is an arithmetic number, because the mean of its divisors is an integer number (286535208960).

Almost surely, 216460750661654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16460750661654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338253373440).

16460750661654 is an abundant number, since it is smaller than the sum of its proper divisors (20215756085226).

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

16460750661654 is a wasteful number, since it uses less digits than its factorization.

16460750661654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15506.

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 16460750661654 in words is "sixteen trillion, four hundred sixty billion, seven hundred fifty million, six hundred sixty-one thousand, six hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 47 78 79 94 141 158 237 282 474 611 1027 1222 1833 2054 3081 3666 3713 6162 6211 7426 9151 11139 12422 18302 18633 22278 27453 37266 48269 54906 80743 96538 118963 144807 161486 237926 242229 289614 291917 356889 430097 484458 490669 583834 713778 722929 860194 875751 981338 1290291 1445858 1472007 1751502 2168787 2580582 2944014 3794921 4337574 5591261 6378697 7589842 9398077 11182522 11384763 12757394 16773783 18796154 19136091 22769526 23061443 28194231 33547566 33977663 38272182 46122886 56388462 56836861 67955326 69184329 101932989 113673722 138368658 170510583 203865978 299798759 341021166 441709619 599597518 738879193 883419238 899396277 1325128857 1477758386 1798792554 2216637579 2650257714 2671332467 4433275158 4490112019 5342664934 8013997401 8980224038 13470336057 16027994802 26940672114 34727322071 58371456247 69454644142 104181966213 116742912494 175114368741 208363932426 211035264893 350228737482 422070529786 633105794679 1266211589358 2743458443609 5486916887218 8230375330827 16460750661654