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46704906420 = 223510942116963
BaseRepresentation
bin101011011111110101…
…000101000010110100
311110112221112001222220
4223133311011002310
51231122424001140
633242252122340
73242251103634
oct533765050264
9143487461886
1046704906420
111889777a517
1290754663b0
1345341b7a03
142390c706c4
151335460bd0
hexadfd450b4

46704906420 has 96 divisors (see below), whose sum is σ = 132294771840. Its totient is φ = 12310341120.

The previous prime is 46704906407. The next prime is 46704906421. The reversal of 46704906420 is 2460940764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46704906421) 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, 2744859 + ... + 2761821.

It is an arithmetic number, because the mean of its divisors is an integer number (1378070540).

Almost surely, 246704906420 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 46704906420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66147385920).

46704906420 is an abundant number, since it is smaller than the sum of its proper divisors (85589865420).

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

46704906420 is a wasteful number, since it uses less digits than its factorization.

46704906420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17505 (or 17503 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 46704906420 in words is "forty-six billion, seven hundred four million, nine hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 421 436 545 654 842 1090 1263 1308 1635 1684 2105 2180 2526 3270 4210 5052 6315 6540 8420 12630 16963 25260 33926 45889 50889 67852 84815 91778 101778 137667 169630 183556 203556 229445 254445 275334 339260 458890 508890 550668 688335 917780 1017780 1376670 1848967 2753340 3697934 5546901 7141423 7395868 9244835 11093802 14282846 18489670 21424269 22187604 27734505 28565692 35707115 36979340 42848538 55469010 71414230 85697076 107121345 110938020 142828460 214242690 428485380 778415107 1556830214 2335245321 3113660428 3892075535 4670490642 7784151070 9340981284 11676226605 15568302140 23352453210 46704906420