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46541905960 = 23511947111697
BaseRepresentation
bin101011010110000111…
…010010000000101000
311110010120210210101211
4223112013102000220
51230304211442320
633214150322504
73235231446634
oct532607220050
9143116723354
1046541905960
11188137688a0
12902a959434
1345094b6634
14237735ddc4
151325eb455a
hexad61d2028

46541905960 has 64 divisors (see below), whose sum is σ = 114360880320. Its totient is φ = 16906306560.

The previous prime is 46541905937. The next prime is 46541905979. The reversal of 46541905960 is 6950914564.

It is a super-2 number, since 2×465419059602 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360832 + ... + 472528.

It is an arithmetic number, because the mean of its divisors is an integer number (1786888755).

Almost surely, 246541905960 is an apocalyptic number.

46541905960 is a gapful number since it is divisible by the number (40) 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 46541905960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57180440160).

46541905960 is an abundant number, since it is smaller than the sum of its proper divisors (67818974360).

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

46541905960 is a wasteful number, since it uses less digits than its factorization.

46541905960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112666 (or 112662 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 46541905960 in words is "forty-six billion, five hundred forty-one million, nine hundred five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 947 1894 3788 4735 7576 9470 10417 18940 20834 37880 41668 52085 83336 104170 111697 208340 223394 416680 446788 558485 893576 1116970 1228667 2233940 2457334 4467880 4914668 6143335 9829336 12286670 24573340 49146680 105777059 211554118 423108236 528885295 846216472 1057770590 1163547649 2115541180 2327095298 4231082360 4654190596 5817738245 9308381192 11635476490 23270952980 46541905960