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32543252040 = 23351370129759
BaseRepresentation
bin11110010011101110…
…101001111001001000
310002222222212111022010
4132103232221321020
51013122033031130
622541122455520
72231311035555
oct362356517110
9102888774263
1032543252040
111288a8a9a22
1263828045a0
1330b8259370
14180a117a2c
15ca704a0b0
hex793ba9e48

32543252040 has 128 divisors (see below), whose sum is σ = 105293260800. Its totient is φ = 7998950400.

The previous prime is 32543252011. The next prime is 32543252087. The reversal of 32543252040 is 4025234523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32543251989 and 32543252007.

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, 1078681 + ... + 1108439.

It is an arithmetic number, because the mean of its divisors is an integer number (822603600).

Almost surely, 232543252040 is an apocalyptic number.

32543252040 is a gapful number since it is divisible by the number (30) 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 32543252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52646630400).

32543252040 is an abundant number, since it is smaller than the sum of its proper divisors (72750008760).

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

32543252040 is a wasteful number, since it uses less digits than its factorization.

32543252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30487 (or 30483 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 32543252040 its reverse (4025234523), we get a palindrome (36568486563).

The spelling of 32543252040 in words is "thirty-two billion, five hundred forty-three million, two hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 701 780 1402 1560 2103 2804 3505 4206 5608 7010 8412 9113 10515 14020 16824 18226 21030 27339 28040 29759 36452 42060 45565 54678 59518 72904 84120 89277 91130 109356 119036 136695 148795 178554 182260 218712 238072 273390 297590 357108 364520 386867 446385 546780 595180 714216 773734 892770 1093560 1160601 1190360 1547468 1785540 1934335 2321202 3094936 3571080 3868670 4642404 5803005 7737340 9284808 11606010 15474680 20861059 23212020 41722118 46424040 62583177 83444236 104305295 125166354 166888472 208610590 250332708 271193767 312915885 417221180 500665416 542387534 625831770 813581301 834442360 1084775068 1251663540 1355968835 1627162602 2169550136 2503327080 2711937670 3254325204 4067906505 5423875340 6508650408 8135813010 10847750680 16271626020 32543252040