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816030541284 = 22373387751137
BaseRepresentation
bin10111101111111110011…
…01011110010111100100
32220000022120102121112220
423313333031132113210
5101332212304310114
61422513530312340
7112645666104000
oct13677715362744
92800276377486
10816030541284
11295092a6a722
1211219ab886b0
135bc4a16706a
142b6d33a7700
151636081c0a9
hexbdff35e5e4

816030541284 has 96 divisors (see below), whose sum is σ = 2221107436800. Its totient is φ = 233086887936.

The previous prime is 816030541279. The next prime is 816030541297. The reversal of 816030541284 is 482145030618.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15932164 + ... + 15983300.

It is an arithmetic number, because the mean of its divisors is an integer number (23136535800).

Almost surely, 2816030541284 is an apocalyptic number.

816030541284 is a gapful number since it is divisible by the number (84) 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 816030541284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110553718400).

816030541284 is an abundant number, since it is smaller than the sum of its proper divisors (1405076895516).

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

816030541284 is a wasteful number, since it uses less digits than its factorization.

816030541284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55042 (or 55026 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 816030541284 in words is "eight hundred sixteen billion, thirty million, five hundred forty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 3877 4116 7754 11631 15508 23262 27139 46524 51137 54278 81417 102274 108556 153411 162834 189973 204548 306822 325668 357959 379946 569919 613644 715918 759892 1073877 1139838 1329811 1431836 2147754 2279676 2505713 2659622 3989433 4295508 5011426 5319244 7517139 7978866 10022852 15034278 15957732 17539991 30068556 35079982 52619973 70159964 105239946 198258149 210479892 396516298 594774447 793032596 1189548894 1387807043 2379097788 2775614086 4163421129 5551228172 8326842258 9714649301 16653684516 19429298602 29143947903 38858597204 58287895806 68002545107 116575791612 136005090214 204007635321 272010180428 408015270642 816030541284