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2125089916416 = 29324111248147
BaseRepresentation
bin11110111011001001001…
…110101100011000000000
321112011020011121000011100
4132323021032230120000
5234304141004311131
64304130340014400
7306350465151645
oct36731116543000
97464204530140
102125089916416
1174a2779474a5
122a3a34391400
1312551a1001ac
1474bd7bc1dcc
153a429c4b7e6
hex1eec93ac600

2125089916416 has 120 divisors (see below), whose sum is σ = 6282743050584. Its totient is φ = 691086090240.

The previous prime is 2125089916363. The next prime is 2125089916487. The reversal of 2125089916416 is 6146199805212.

2125089916416 is a `hidden beast` number, since 2 + 1 + 2 + 508 + 9 + 91 + 6 + 41 + 6 = 666.

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 11 ways as a sum of consecutive naturals, for example, 5435146 + ... + 5813001.

Almost surely, 22125089916416 is an apocalyptic number.

It is an amenable number.

2125089916416 is an abundant number, since it is smaller than the sum of its proper divisors (4157653134168).

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

2125089916416 is a wasteful number, since it uses less digits than its factorization.

2125089916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248212 (or 11248193 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2125089916416 in words is "two trillion, one hundred twenty-five billion, eighty-nine million, nine hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1152 1312 1476 1536 1968 2304 2624 2952 3936 4608 5248 5904 7872 10496 11808 15744 20992 23616 31488 47232 62976 94464 188928 11248147 22496294 33744441 44992588 67488882 89985176 101233323 134977764 179970352 202466646 269955528 359940704 404933292 461174027 539911056 719881408 809866584 922348054 1079822112 1383522081 1439762816 1619733168 1844696108 2159644224 2767044162 2879525632 3239466336 3689392216 4150566243 4319288448 5534088324 5759051264 6478932672 7378784432 8301132486 8638576896 11068176648 12957865344 14757568864 16602264972 17277153792 22136353296 25915730688 29515137728 33204529944 44272706592 51831461376 59030275456 66409059888 88545413184 118060550912 132818119776 177090826368 236121101824 265636239552 354181652736 531272479104 708363305472 1062544958208 2125089916416