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32381063680 = 29576412819
BaseRepresentation
bin11110001010000011…
…111101001000000000
310002120200200110200211
4132022003331020000
51012304023014210
622513050323504
72224301333320
oct361203751000
9102520613624
1032381063680
11128072a2459
126338429594
133090780814
1417d2779280
15c97bae38a
hex78a0fd200

32381063680 has 160 divisors (see below), whose sum is σ = 88899845760. Its totient is φ = 11080826880.

The previous prime is 32381063657. The next prime is 32381063707. The reversal of 32381063680 is 8636018323.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11485311 + ... + 11488129.

It is an arithmetic number, because the mean of its divisors is an integer number (555624036).

Almost surely, 232381063680 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 32381063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44449922880).

32381063680 is an abundant number, since it is smaller than the sum of its proper divisors (56518782080).

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

32381063680 is an equidigital number, since it uses as much as digits as its factorization.

32381063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 32381063680 in words is "thirty-two billion, three hundred eighty-one million, sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 641 896 1120 1280 1282 1792 2240 2560 2564 2819 3205 3584 4480 4487 5128 5638 6410 8960 8974 10256 11276 12820 14095 17920 17948 19733 20512 22435 22552 25640 28190 35896 39466 41024 44870 45104 51280 56380 71792 78932 82048 89740 90208 98665 102560 112760 143584 157864 164096 179480 180416 197330 205120 225520 287168 315728 328192 358960 360832 394660 410240 451040 574336 631456 717920 721664 789320 820480 902080 1148672 1262912 1435840 1443328 1578640 1640960 1804160 1806979 2297344 2525824 2871680 3157280 3608320 3613958 5051648 5743360 6314560 7216640 7227916 9034895 10103296 11486720 12629120 12648853 14455832 18069790 25258240 25297706 28911664 36139580 50516480 50595412 57823328 63244265 72279160 101190824 115646656 126488530 144558320 202381648 231293312 252977060 289116640 404763296 462586624 505954120 578233280 809526592 925173248 1011908240 1156466560 1619053184 2023816480 2312933120 3238106368 4047632960 4625866240 6476212736 8095265920 16190531840 32381063680