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830483850280 = 235724150924179
BaseRepresentation
bin11000001010111001011…
…00011110010000101000
32221101121211212210011111
430011130230132100220
5102101312331202110
61433304035040104
7114000110153050
oct14053454362050
92841554783144
10830483850280
112a022a534697
12114b53440034
1360411660ac6
142c2a4b60560
1516909643e8a
hexc15cb1e428

830483850280 has 128 divisors (see below), whose sum is σ = 2148692832000. Its totient is φ = 282987048960.

The previous prime is 830483850269. The next prime is 830483850307. The reversal of 830483850280 is 82058384038.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34335231 + ... + 34359409.

It is an arithmetic number, because the mean of its divisors is an integer number (16786662750).

Almost surely, 2830483850280 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 830483850280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074346416000).

830483850280 is an abundant number, since it is smaller than the sum of its proper divisors (1318208981720).

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

830483850280 is a wasteful number, since it uses less digits than its factorization.

830483850280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24947 (or 24943 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 830483850280 in words is "eight hundred thirty billion, four hundred eighty-three million, eight hundred fifty thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 241 280 482 509 964 1018 1205 1687 1928 2036 2410 2545 3374 3563 4072 4820 5090 6748 7126 8435 9640 10180 13496 14252 16870 17815 20360 24179 28504 33740 35630 48358 67480 71260 96716 120895 122669 142520 169253 193432 241790 245338 338506 483580 490676 613345 677012 846265 858683 967160 981352 1226690 1354024 1692530 1717366 2453380 3385060 3434732 4293415 4906760 5827139 6770120 6869464 8586830 11654278 12307111 17173660 23308556 24614222 29135695 34347320 40789973 46617112 49228444 58271390 61535555 81579946 86149777 98456888 116542780 123071110 163159892 172299554 203949865 233085560 246142220 326319784 344599108 407899730 430748885 492284440 689198216 815799460 861497770 1631598920 1722995540 2966013751 3445991080 5932027502 11864055004 14830068755 20762096257 23728110008 29660137510 41524192514 59320275020 83048385028 103810481285 118640550040 166096770056 207620962570 415241925140 830483850280