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996775964400 = 243526712397711
BaseRepresentation
bin11101000000101000111…
…10100010111011110000
310112021212000211110002010
432200110132202323300
5112312344121330100
62041525040122520
7132005015621226
oct16402436427360
93467760743063
10996775964400
11354804056267
12141222306440
1372cc3362a78
143635c1a2b16
151addd6bb750
hexe8147a2ef0

996775964400 has 120 divisors (see below), whose sum is σ = 3240662735104. Its totient is φ = 261839635200.

The previous prime is 996775964381. The next prime is 996775964417. The reversal of 996775964400 is 4469577699.

It is a tau number, because it is divible by the number of its divisors (120).

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, 6118456 + ... + 6279255.

Almost surely, 2996775964400 is an apocalyptic number.

It is an amenable number.

996775964400 is an abundant number, since it is smaller than the sum of its proper divisors (2243886770704).

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

996775964400 is a wasteful number, since it uses less digits than its factorization.

996775964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12397799 (or 12397788 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 996775964400 in words is "nine hundred ninety-six billion, seven hundred seventy-five million, nine hundred sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 134 150 200 201 240 268 300 335 400 402 536 600 670 804 1005 1072 1200 1340 1608 1675 2010 2680 3216 3350 4020 5025 5360 6700 8040 10050 13400 16080 20100 26800 40200 80400 12397711 24795422 37193133 49590844 61988555 74386266 99181688 123977110 148772532 185965665 198363376 247954220 297545064 309942775 371931330 495908440 595090128 619885550 743862660 830646637 929828325 991816880 1239771100 1487725320 1661293274 1859656650 2479542200 2491939911 2975450640 3322586548 3719313300 4153233185 4959084400 4983879822 6645173096 7438626600 8306466370 9967759644 12459699555 13290346192 14877253200 16612932740 19935519288 20766165925 24919399110 33225865480 39871038576 41532331850 49838798220 62298497775 66451730960 83064663700 99677596440 124596995550 166129327400 199355192880 249193991100 332258654800 498387982200 996775964400