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425424055115232 = 253235337517111539
BaseRepresentation
bin110000010111010111100000…
…1101011110001110111100000
32001210022010211212100120210100
41200232233001223301313200
5421230121431102141412
64104445040214302400
7155415605450511615
oct14056570153616740
92053263755316710
10425424055115232
1111360a36836a708
123b86a047357a00
131534c415a89b74
14770a8c40b650c
15342b3c8d5aedc
hex182ebc1af1de0

425424055115232 has 144 divisors (see below), whose sum is σ = 1213270066728720. Its totient is φ = 141401259073536.

The previous prime is 425424055115209. The next prime is 425424055115317. The reversal of 425424055115232 is 232511550424524.

425424055115232 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 2 + 40 + 551 + 1 + 52 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3814072519 + ... + 3814184057.

It is an arithmetic number, because the mean of its divisors is an integer number (8425486574505).

Almost surely, 2425424055115232 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 425424055115232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606635033364360).

425424055115232 is an abundant number, since it is smaller than the sum of its proper divisors (787846011613488).

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

425424055115232 is a wasteful number, since it uses less digits than its factorization.

425424055115232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149425 (or 149414 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 425424055115232 in words is "four hundred twenty-five trillion, four hundred twenty-four billion, fifty-five million, one hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 353 706 1059 1412 2118 2824 3177 4236 5648 6354 8472 11296 12708 16944 25416 33888 37517 50832 75034 101664 111539 112551 150068 223078 225102 300136 334617 337653 446156 450204 600272 669234 675306 892312 900408 1003851 1200544 1338468 1350612 1784624 1800816 2007702 2676936 2701224 3569248 3601632 4015404 5353872 5402448 8030808 10707744 10804896 13243501 16061616 26487002 32123232 39373267 39730503 52974004 78746534 79461006 105948008 118119801 119191509 157493068 158922012 211896016 236239602 238383018 314986136 317844024 354359403 423792032 472479204 476766036 629972272 635688048 708718806 944958408 953532072 1259944544 1271376096 1417437612 1889916816 1907064144 2834875224 3779833632 3814128288 4184608663 5669750448 8369217326 11339500896 12553825989 16738434652 25107651978 33476869304 37661477967 50215303956 66953738608 75322955934 100430607912 133907477216 150645911868 200861215824 301291823736 401722431648 602583647472 1205167294944 1477166858039 2954333716078 4431500574117 5908667432156 8863001148234 11817334864312 13294501722351 17726002296468 23634669728624 26589003444702 35452004592936 47269339457248 53178006889404 70904009185872 106356013778808 141808018371744 212712027557616 425424055115232