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1995922656 = 253271376157
BaseRepresentation
bin111011011110111…
…0101110011100000
312011002200101011100
41312331311303200
513041424011111
6530015314400
7100314030330
oct16675656340
95132611140
101995922656
11934712262
1247851ba00
1325a67a530
1414d1170c0
15ba359756
hex76f75ce0

1995922656 has 144 divisors (see below), whose sum is σ = 6985821024. Its totient is φ = 526390272.

The previous prime is 1995922619. The next prime is 1995922667. The reversal of 1995922656 is 6562295991.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11871 + ... + 64286.

It is an arithmetic number, because the mean of its divisors is an integer number (48512646).

Almost surely, 21995922656 is an apocalyptic number.

1995922656 is a gapful number since it is divisible by the number (16) 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 1995922656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492910512).

1995922656 is an abundant number, since it is smaller than the sum of its proper divisors (4989898368).

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

1995922656 is a wasteful number, since it uses less digits than its factorization.

1995922656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76193 (or 76182 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 1995922656 is about 44675.7502007521. The cubic root of 1995922656 is about 1259.0642788169.

The spelling of 1995922656 in words is "one billion, nine hundred ninety-five million, nine hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 76157 152314 228471 304628 456942 533099 609256 685413 913884 990041 1066198 1218512 1370826 1599297 1827768 1980082 2132396 2437024 2741652 2970123 3198594 3655536 3960164 4264792 4797891 5483304 5940246 6397188 6930287 7311072 7920328 8529584 8910369 9595782 10966608 11880492 12794376 13860574 15840656 17059168 17820738 19191564 20790861 21933216 23760984 25588752 27721148 31681312 35641476 38383128 41581722 47521968 51177504 55442296 62372583 71282952 76766256 83163444 95043936 110884592 124745166 142565904 153532512 166326888 221769184 249490332 285131808 332653776 498980664 665307552 997961328 1995922656