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9946164480 = 28357370021
BaseRepresentation
bin10010100001101011…
…00110110100000000
3221200011110111200020
421100311212310000
5130332204230410
64322540453440
7501322001040
oct112065466400
927604414606
109946164480
11424439464a
121b16b4a280
13c267bb335
146a4d4b720
153d32c6a70
hex250d66d00

9946164480 has 144 divisors (see below), whose sum is σ = 36303598464. Its totient is φ = 2273402880.

The previous prime is 9946164469. The next prime is 9946164499. The reversal of 9946164480 is 844616499.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158131 + ... + 211890.

Almost surely, 29946164480 is an apocalyptic number.

It is an amenable number.

9946164480 is an abundant number, since it is smaller than the sum of its proper divisors (26357433984).

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

9946164480 is a wasteful number, since it uses less digits than its factorization.

9946164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370052 (or 370038 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 9946164480 is about 99730.4591386202. The cubic root of 9946164480 is about 2150.5615609022.

The spelling of 9946164480 in words is "nine billion, nine hundred forty-six million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 370021 740042 1110063 1480084 1850105 2220126 2590147 2960168 3700210 4440252 5180294 5550315 5920336 7400420 7770441 8880504 10360588 11100630 11840672 12950735 14800840 15540882 17761008 20721176 22201260 23681344 25901470 29601680 31081764 35522016 38852205 41442352 44402520 47362688 51802940 59203360 62163528 71044032 77704410 82884704 88805040 94725376 103605880 118406720 124327056 142088064 155408820 165769408 177610080 207211760 236813440 248654112 284176128 310817640 331538816 355220160 414423520 473626880 497308224 621635280 663077632 710440320 828847040 994616448 1243270560 1420880640 1657694080 1989232896 2486541120 3315388160 4973082240 9946164480