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104854389432 = 233134744316141
BaseRepresentation
bin110000110100111001…
…1110000001010111000
3101000122111000212122220
41201221303300022320
53204220210430212
6120100333244040
710401250414242
oct1415163601270
9330574025586
10104854389432
11405176297a1
12183a3633620
139b70448320
145109a5b092
152ada4cc38c
hex1869cf02b8

104854389432 has 128 divisors (see below), whose sum is σ = 288975375360. Its totient is φ = 31503214080.

The previous prime is 104854389413. The next prime is 104854389433. The reversal of 104854389432 is 234983458401.

104854389432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104854389433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6488082 + ... + 6504222.

It is an arithmetic number, because the mean of its divisors is an integer number (2257620120).

Almost surely, 2104854389432 is an apocalyptic number.

104854389432 is a gapful number since it is divisible by the number (12) 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 104854389432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144487687680).

104854389432 is an abundant number, since it is smaller than the sum of its proper divisors (184120985928).

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

104854389432 is a wasteful number, since it uses less digits than its factorization.

104854389432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16653 (or 16649 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 104854389432 in words is "one hundred four billion, eight hundred fifty-four million, three hundred eighty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 443 564 611 886 1128 1222 1329 1772 1833 2444 2658 3544 3666 4888 5316 5759 7332 10632 11518 14664 16141 17277 20821 23036 32282 34554 41642 46072 48423 62463 64564 69108 83284 96846 124926 129128 138216 166568 193692 209833 249852 270673 387384 419666 499704 541346 629499 758627 812019 839332 1082692 1258998 1517254 1624038 1678664 2165384 2275881 2517996 3034508 3248076 4551762 5035992 6069016 6496152 7150463 9103524 9862151 14300926 18207048 19724302 21451389 28601852 29586453 39448604 42902778 57203704 59172906 78897208 85805556 92956019 118345812 171611112 185912038 236691624 278868057 336071761 371824076 557736114 672143522 743648152 1008215283 1115472228 1344287044 2016430566 2230944456 2688574088 4032861132 4368932893 8065722264 8737865786 13106798679 17475731572 26213597358 34951463144 52427194716 104854389432