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41906495616 = 273971975711
BaseRepresentation
bin100111000001110100…
…100110000010000000
311000011112110112211020
4213001310212002000
51141311030324431
631130201345440
73012324223026
oct470164460200
9130145415736
1041906495616
1116855140457
128156498280
133c4b04b88b
142057886716
151154079696
hex9c1d26080

41906495616 has 128 divisors (see below), whose sum is σ = 113052360960. Its totient is φ = 13752238080.

The previous prime is 41906495567. The next prime is 41906495621. The reversal of 41906495616 is 61659460914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 7335001 + ... + 7340711.

It is an arithmetic number, because the mean of its divisors is an integer number (883221570).

Almost surely, 241906495616 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 41906495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56526180480).

41906495616 is an abundant number, since it is smaller than the sum of its proper divisors (71145865344).

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

41906495616 is a wasteful number, since it uses less digits than its factorization.

41906495616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 41906495616 in words is "forty-one billion, nine hundred six million, four hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 197 291 384 388 394 582 591 776 788 1164 1182 1552 1576 2328 2364 3104 3152 4656 4728 5711 6208 6304 9312 9456 11422 12416 12608 17133 18624 18912 19109 22844 25216 34266 37248 37824 38218 45688 57327 68532 75648 76436 91376 114654 137064 152872 182752 229308 274128 305744 365504 458616 548256 553967 611488 731008 917232 1096512 1107934 1125067 1222976 1661901 1834464 2193024 2215868 2250134 2445952 3323802 3375201 3668928 4431736 4500268 6647604 6750402 7337856 8863472 9000536 13295208 13500804 17726944 18001072 26590416 27001608 35453888 36002144 53180832 54003216 70907776 72004288 106361664 108006432 109131499 144008576 212723328 216012864 218262998 327394497 432025728 436525996 654788994 873051992 1309577988 1746103984 2619155976 3492207968 5238311952 6984415936 10476623904 13968831872 20953247808 41906495616