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328415022540 = 2232511215078743
BaseRepresentation
bin1001100011101110000…
…11111000110111001100
31011101200210210201210100
410301313003320313030
520340043221210130
6410512145411100
732504300426553
oct4616703706714
91141623721710
10328415022540
1111730979a300
1253795639a90
1324c7aa1a907
1411c76c86d9a
1588220a4c60
hex4c770f8dcc

328415022540 has 108 divisors (see below), whose sum is σ = 1094988231792. Its totient is φ = 79615757760.

The previous prime is 328415022539. The next prime is 328415022577. The reversal of 328415022540 is 45220514823.

328415022540 is a `hidden beast` number, since 3 + 2 + 8 + 41 + 50 + 22 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328415022495 and 328415022504.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7517592 + ... + 7561151.

It is an arithmetic number, because the mean of its divisors is an integer number (10138779924).

Almost surely, 2328415022540 is an apocalyptic number.

328415022540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328415022540 is an abundant number, since it is smaller than the sum of its proper divisors (766573209252).

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

328415022540 is a wasteful number, since it uses less digits than its factorization.

328415022540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15078780 (or 15078764 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 328415022540 in words is "three hundred twenty-eight billion, four hundred fifteen million, twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 15078743 30157486 45236229 60314972 75393715 90472458 135708687 150787430 165866173 180944916 226181145 271417374 301574860 331732346 452362290 497598519 542834748 663464692 678543435 829330865 904724580 995197038 1357086870 1492795557 1658661730 1824527903 1990394076 2487992595 2714173740 2985591114 3317323460 3649055806 4975985190 5473583709 5971182228 7298111612 7463977785 9122639515 9951970380 10947167418 14927955570 16420751127 18245279030 21894334836 27367918545 29855911140 32841502254 36490558060 54735837090 65683004508 82103755635 109471674180 164207511270 328415022540