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328778678272 = 215118831033
BaseRepresentation
bin1001100100011001011…
…11001000000000000000
31011102122011002100200011
410302030233020000000
520341314320201042
6411012220034304
732516304440422
oct4621457100000
91142564070604
10328778678272
11117485aa1230
1253877392994
1325008175615
1411cad2aa812
158843e89a17
hex4c8cbc8000

328778678272 has 128 divisors (see below), whose sum is σ = 718831919520. Its totient is φ = 149131100160.

The previous prime is 328778678237. The next prime is 328778678299. The reversal of 328778678272 is 272876877823.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 328778678198 and 328778678207.

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, 318275068 + ... + 318276100.

Almost surely, 2328778678272 is an apocalyptic number.

328778678272 is a gapful number since it is divisible by the number (32) 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 328778678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359415959760).

328778678272 is an abundant number, since it is smaller than the sum of its proper divisors (390053241248).

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

328778678272 is an equidigital number, since it uses as much as digits as its factorization.

328778678272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1929 counting only the distinct ones).

The product of its digits is 177020928, while the sum is 67.

The spelling of 328778678272 in words is "three hundred twenty-eight billion, seven hundred seventy-eight million, six hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 883 1024 1033 1408 1766 2048 2066 2816 3532 4096 4132 5632 7064 8192 8264 9713 11264 11363 14128 16384 16528 19426 22528 22726 28256 32768 33056 38852 45056 45452 56512 66112 77704 90112 90904 113024 132224 155408 180224 181808 226048 264448 310816 360448 363616 452096 528896 621632 727232 904192 912139 1057792 1243264 1454464 1808384 1824278 2115584 2486528 2908928 3616768 3648556 4231168 4973056 5817856 7233536 7297112 8462336 9946112 10033529 11635712 14467072 14594224 16924672 19892224 20067058 23271424 28934144 29188448 33849344 39784448 40134116 46542848 58376896 79568896 80268232 93085696 116753792 159137792 160536464 186171392 233507584 318275584 321072928 372342784 467015168 642145856 934030336 1284291712 1868060672 2568583424 3736121344 5137166848 7472242688 10274333696 14944485376 20548667392 29888970752 41097334784 82194669568 164389339136 328778678272