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5163314666100 = 22352591249233557
BaseRepresentation
bin100101100100010110110…
…0010010101101001110100
3200021121102021110202111020
41023020231202111221310
51134043432023303400
614551554412341140
71042015515342663
oct113105542255164
920247367422436
105163314666100
111710827581398
126b48277747b0
132b5b8ac79876
1413bc975b2dda
158e49a1ac2a0
hex4b22d895a74

5163314666100 has 144 divisors (see below), whose sum is σ = 15204625800000. Its totient is φ = 1352457400320.

The previous prime is 5163314666047. The next prime is 5163314666119. The reversal of 5163314666100 is 16664133615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21990522 + ... + 22224078.

Almost surely, 25163314666100 is an apocalyptic number.

5163314666100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5163314666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602312900000).

5163314666100 is an abundant number, since it is smaller than the sum of its proper divisors (10041311133900).

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

5163314666100 is a wasteful number, since it uses less digits than its factorization.

5163314666100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234882 (or 234875 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

Adding to 5163314666100 its reverse (16664133615), we get a palindrome (5179978799715).

The spelling of 5163314666100 in words is "five trillion, one hundred sixty-three billion, three hundred fourteen million, six hundred sixty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1249 1475 1770 2498 2950 3540 3747 4425 4996 5900 6245 7494 8850 12490 14988 17700 18735 24980 31225 37470 62450 73691 74940 93675 124900 147382 187350 221073 233557 294764 368455 374700 442146 467114 700671 736910 884292 934228 1105365 1167785 1401342 1473820 1842275 2210730 2335570 2802684 3503355 3684550 4421460 4671140 5526825 5838925 7006710 7369100 11053650 11677850 13779863 14013420 17516775 22107300 23355700 27559726 35033550 41339589 55119452 68899315 70067100 82679178 137798630 165358356 206697945 275597260 291712693 344496575 413395890 583425386 688993150 826791780 875138079 1033489725 1166850772 1377986300 1458563465 1750276158 2066979450 2917126930 3500552316 4133958900 4375690395 5834253860 7292817325 8751380790 14585634650 17211048887 17502761580 21878451975 29171269300 34422097774 43756903950 51633146661 68844195548 86055244435 87513807900 103266293322 172110488870 206532586644 258165733305 344220977740 430276222175 516331466610 860552444350 1032662933220 1290828666525 1721104888700 2581657333050 5163314666100