Search a number
-
+
32323685472256 = 21197757214943
BaseRepresentation
bin1110101100101111100011…
…10010100101100000000000
311020110010002012212021221111
413112113301302211200000
513214042401440103011
6152425143543133104
76544211026122613
oct726276162454000
9136403065767844
1032323685472256
11a332441854aa2
123760668a44194
1315061588b5059
147da69090217a
153b0c2ea28121
hex1d65f1ca5800

32323685472256 has 96 divisors (see below), whose sum is σ = 65384455893120. Its totient is φ = 15974021726208.

The previous prime is 32323685472229. The next prime is 32323685472263. The reversal of 32323685472256 is 65227458632323.

It is a self number, because there is not a number n which added to its sum of digits gives 32323685472256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150275121 + ... + 150490063.

It is an arithmetic number, because the mean of its divisors is an integer number (681088082220).

Almost surely, 232323685472256 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 32323685472256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32692227946560).

32323685472256 is an abundant number, since it is smaller than the sum of its proper divisors (33060770420864).

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

32323685472256 is an equidigital number, since it uses as much as digits as its factorization.

32323685472256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215819 (or 215799 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 58.

The spelling of 32323685472256 in words is "thirty-two trillion, three hundred twenty-three billion, six hundred eighty-five million, four hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 757 776 1024 1514 1552 2048 3028 3104 6056 6208 12112 12416 24224 24832 48448 49664 73429 96896 99328 146858 193792 198656 214943 293716 387584 429886 587432 775168 859772 1174864 1550336 1719544 2349728 3439088 4699456 6878176 9398912 13756352 18797824 20849471 27512704 37595648 41698942 55025408 75191296 83397884 110050816 150382592 162711851 166795768 220101632 325423702 333591536 440203264 650847404 667183072 1301694808 1334366144 2603389616 2668732288 5206779232 5337464576 10413558464 10674929152 15783049547 20827116928 21349858304 31566099094 41654233856 42699716608 63132198188 83308467712 126264396376 166616935424 252528792752 333233870848 505057585504 1010115171008 2020230342016 4040460684032 8080921368064 16161842736128 32323685472256