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41913327984 = 243112324114321
BaseRepresentation
bin100111000010001110…
…101010000101110000
311000012000022200001220
4213002032222011300
51141314302443414
631131004025040
73012436260333
oct470216520560
9130160280056
1041913327984
1116858a87740
128158832180
133c4c5a16b8
14205874461a
151154978ca9
hex9c23aa170

41913327984 has 160 divisors (see below), whose sum is σ = 123775077888. Its totient is φ = 12097536000.

The previous prime is 41913327983. The next prime is 41913328021. The reversal of 41913327984 is 48972331914.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41913327983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2919544 + ... + 2933864.

Almost surely, 241913327984 is an apocalyptic number.

41913327984 is a gapful number since it is divisible by the number (44) 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 41913327984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61887538944).

41913327984 is an abundant number, since it is smaller than the sum of its proper divisors (81861749904).

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

41913327984 is a wasteful number, since it uses less digits than its factorization.

41913327984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14607 (or 14601 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 41913327984 in words is "forty-one billion, nine hundred thirteen million, three hundred twenty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 241 253 264 276 368 482 506 528 552 723 759 964 1012 1104 1446 1518 1928 2024 2651 2892 3036 3856 4048 5302 5543 5784 6072 7953 10604 11086 11568 12144 14321 15906 16629 21208 22172 28642 31812 33258 42416 42963 44344 57284 60973 63624 66516 85926 88688 114568 121946 127248 133032 157531 171852 182919 229136 243892 266064 315062 329383 343704 365838 472593 487784 630124 658766 687408 731676 945186 975568 988149 1260248 1317532 1463352 1890372 1976298 2520496 2635064 2926704 3451361 3623213 3780744 3952596 5270128 6902722 7246426 7561488 7905192 10354083 10869639 13805444 14492852 15810384 20708166 21739278 27610888 28985704 37964971 41416332 43478556 55221776 57971408 75929942 79381303 82832664 86957112 113894913 151859884 158762606 165665328 173914224 227789826 238143909 303719768 317525212 455579652 476287818 607439536 635050424 873194333 911159304 952575636 1270100848 1746388666 1822318608 1905151272 2619582999 3492777332 3810302544 5239165998 6985554664 10478331996 13971109328 20956663992 41913327984