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32540000000 = 28571627
BaseRepresentation
bin11110010011100010…
…001111111100000000
310002222202202021100012
4132103202033330000
51013120220000000
622540525044052
72231241302444
oct362342177400
9102882667305
1032540000000
1112888a88692
1263816b6628
1330b768b091
14180990c824
15ca6b06735
hex79388ff00

32540000000 has 144 divisors (see below), whose sum is σ = 81240807648. Its totient is φ = 13008000000.

The previous prime is 32539999993. The next prime is 32540000011. The reversal of 32540000000 is 4523.

It is a self number, because there is not a number n which added to its sum of digits gives 32540000000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19999187 + ... + 20000813.

Almost surely, 232540000000 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 32540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40620403824).

32540000000 is an abundant number, since it is smaller than the sum of its proper divisors (48700807648).

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

32540000000 is an frugal number, since it uses more digits than its factorization.

32540000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

Adding to 32540000000 its reverse (4523), we get a palindrome (32540004523).

The spelling of 32540000000 in words is "thirty-two billion, five hundred forty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 1627 2000 2500 3125 3200 3254 4000 5000 6250 6400 6508 8000 8135 10000 12500 13016 15625 16000 16270 20000 25000 26032 31250 32000 32540 40000 40675 50000 52064 62500 65080 78125 80000 81350 100000 104128 125000 130160 156250 160000 162700 200000 203375 208256 250000 260320 312500 325400 400000 406750 416512 500000 520640 625000 650800 800000 813500 1000000 1016875 1041280 1250000 1301600 1627000 2000000 2033750 2082560 2500000 2603200 3254000 4000000 4067500 5000000 5084375 5206400 6508000 8135000 10000000 10168750 10412800 13016000 16270000 20000000 20337500 25421875 26032000 32540000 40675000 50843750 52064000 65080000 81350000 101687500 127109375 130160000 162700000 203375000 254218750 260320000 325400000 406750000 508437500 650800000 813500000 1016875000 1301600000 1627000000 2033750000 3254000000 4067500000 6508000000 8135000000 16270000000 32540000000