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32042102320 = 2452959234089
BaseRepresentation
bin11101110101110110…
…111010111000110000
310001201001212110010101
4131311312322320300
51011110234233240
622415301242144
72213014242634
oct356566727060
9101631773111
1032042102320
1112652a277a8
126262a03354
133038490b77
14179d742dc4
15c7805639a
hex775dbae30

32042102320 has 80 divisors (see below), whose sum is σ = 78373332000. Its totient is φ = 12165085184.

The previous prime is 32042102317. The next prime is 32042102321. The reversal of 32042102320 is 2320124023.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (32042102321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19836 + ... + 253924.

It is an arithmetic number, because the mean of its divisors is an integer number (979666650).

Almost surely, 232042102320 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 32042102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39186666000).

32042102320 is an abundant number, since it is smaller than the sum of its proper divisors (46331229680).

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

32042102320 is a wasteful number, since it uses less digits than its factorization.

32042102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234190 (or 234184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 32042102320 its reverse (2320124023), we get a palindrome (34362226343).

The spelling of 32042102320 in words is "thirty-two billion, forty-two million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 59 80 116 118 145 232 236 290 295 464 472 580 590 944 1160 1180 1711 2320 2360 3422 4720 6844 8555 13688 17110 27376 34220 68440 136880 234089 468178 936356 1170445 1872712 2340890 3745424 4681780 6788581 9363560 13577162 13811251 18727120 27154324 27622502 33942905 54308648 55245004 67885810 69056255 108617296 110490008 135771620 138112510 220980016 271543240 276225020 400526279 543086480 552450040 801052558 1104900080 1602105116 2002631395 3204210232 4005262790 6408420464 8010525580 16021051160 32042102320