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328888136100 = 2235219103560191
BaseRepresentation
bin1001100100100110100…
…00101011000110100100
31011102220210001101120210
410302103100223012210
520342030330323400
6411031130055420
732522104013436
oct4622320530644
91142823041523
10328888136100
11117531862547
12538a7b7a570
1325024a4ac74
1411cbda40656
15884d8ab950
hex4c9342b1a4

328888136100 has 144 divisors (see below), whose sum is σ = 1011393044480. Its totient is φ = 82280707200.

The previous prime is 328888136069. The next prime is 328888136147. The reversal of 328888136100 is 1631888823.

It is a self number, because there is not a number n which added to its sum of digits gives 328888136100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307005 + ... + 867195.

Almost surely, 2328888136100 is an apocalyptic number.

328888136100 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 328888136100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505696522240).

328888136100 is an abundant number, since it is smaller than the sum of its proper divisors (682504908380).

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

328888136100 is a wasteful number, since it uses less digits than its factorization.

328888136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560330 (or 560323 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 328888136100 in words is "three hundred twenty-eight billion, eight hundred eighty-eight million, one hundred thirty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 103 114 150 190 206 228 285 300 309 380 412 475 515 570 618 950 1030 1140 1236 1425 1545 1900 1957 2060 2575 2850 3090 3914 5150 5700 5871 6180 7725 7828 9785 10300 11742 15450 19570 23484 29355 30900 39140 48925 58710 97850 117420 146775 195700 293550 560191 587100 1120382 1680573 2240764 2800955 3361146 5601910 6722292 8402865 10643629 11203820 14004775 16805730 21287258 28009550 31930887 33611460 42014325 42574516 53218145 56019100 57699673 63861774 84028650 106436290 115399346 127723548 159654435 168057300 173099019 212872580 230798692 266090725 288498365 319308870 346198038 532181450 576996730 638617740 692396076 798272175 865495095 1064362900 1096293787 1153993460 1442491825 1596544350 1730990190 2192587574 2884983650 3193088700 3288881361 3461980380 4327475475 4385175148 5481468935 5769967300 6577762722 8654950950 10962937870 13155525444 16444406805 17309901900 21925875740 27407344675 32888813610 54814689350 65777627220 82222034025 109629378700 164444068050 328888136100