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32406623140 = 22531472234987
BaseRepresentation
bin11110001011100101…
…011101001110100100
310002122110210000200111
4132023211131032210
51012332043420030
622515402222404
72225031515563
oct361345351644
9102573700614
1032406623140
111281a76a681
126344ab4a04
133095b5c568
1417d5d0dbda
15c9a05c62a
hex78b95d3a4

32406623140 has 96 divisors (see below), whose sum is σ = 72080031744. Its totient is φ = 12220087680.

The previous prime is 32406623111. The next prime is 32406623189. The reversal of 32406623140 is 4132660423.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6495727 + ... + 6500713.

It is an arithmetic number, because the mean of its divisors is an integer number (750833664).

Almost surely, 232406623140 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 32406623140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36040015872).

32406623140 is an abundant number, since it is smaller than the sum of its proper divisors (39673408604).

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

32406623140 is a wasteful number, since it uses less digits than its factorization.

32406623140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 32406623140 in words is "thirty-two billion, four hundred six million, six hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 223 235 310 446 470 620 892 940 1115 1457 2230 2914 4460 4987 5828 6913 7285 9974 10481 13826 14570 19948 20962 24935 27652 29140 34565 41924 49870 52405 69130 99740 104810 138260 154597 209620 234389 309194 324911 468778 618388 649822 772985 937556 1112101 1171945 1299644 1545970 1624555 2224202 2343890 3091940 3249110 4448404 4687780 5560505 6498220 7266059 11121010 14532118 22242020 29064236 34475131 36330295 52268747 68950262 72660590 104537494 137900524 145321180 172375655 209074988 261343735 344751310 522687470 689502620 1045374940 1620331157 3240662314 6481324628 8101655785 16203311570 32406623140