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46034384840 = 235192112571117
BaseRepresentation
bin101010110111110111…
…001111011111001000
311101211012211001022022
4222313313033133020
51223234300303330
633051540344012
73216526546343
oct526767173710
9141735731268
1046034384840
1118583234754
128b089a5008
1344582ca092
142329bab45a
1512e6662ae5
hexab7dcf7c8

46034384840 has 128 divisors (see below), whose sum is σ = 110070230400. Its totient is φ = 17278894080.

The previous prime is 46034384761. The next prime is 46034384861. The reversal of 46034384840 is 4848343064.

It is a junction number, because it is equal to n+sod(n) for n = 46034384791 and 46034384800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41211962 + ... + 41213078.

It is an arithmetic number, because the mean of its divisors is an integer number (859923675).

Almost surely, 246034384840 is an apocalyptic number.

46034384840 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 46034384840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55035115200).

46034384840 is an abundant number, since it is smaller than the sum of its proper divisors (64035845560).

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

46034384840 is a wasteful number, since it uses less digits than its factorization.

46034384840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The spelling of 46034384840 in words is "forty-six billion, thirty-four million, three hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 211 257 380 422 514 760 844 1028 1055 1117 1285 1688 2056 2110 2234 2570 4009 4220 4468 4883 5140 5585 8018 8440 8936 9766 10280 11170 16036 19532 20045 21223 22340 24415 32072 39064 40090 42446 44680 48830 54227 80180 84892 97660 106115 108454 160360 169784 195320 212230 216908 235687 271135 287069 424460 433816 471374 542270 574138 848920 942748 1030313 1084540 1148276 1178435 1435345 1885496 2060626 2169080 2296552 2356870 2870690 4121252 4478053 4713740 5151565 5454311 5741380 8242504 8956106 9427480 10303130 10908622 11482760 17912212 20606260 21817244 22390265 27271555 35824424 41212520 43634488 44780530 54543110 60571559 89561060 109086220 121143118 179122120 218172440 242286236 302857795 484572472 605715590 1150859621 1211431180 2301719242 2422862360 4603438484 5754298105 9206876968 11508596210 23017192420 46034384840