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46442666000 = 245343653827
BaseRepresentation
bin101011010000001100…
…101101100000010000
311102212200001212202202
4223100030231200100
51230103310303000
633200243302332
73232615101413
oct532014554020
9142780055682
1046442666000
11187727463a5
12900167a9a8
1344c1a7aa73
1423680c9b7a
15131c40edd5
hexad032d810

46442666000 has 160 divisors (see below), whose sum is σ = 115225089408. Its totient is φ = 18095347200.

The previous prime is 46442665999. The next prime is 46442666021. The reversal of 46442666000 is 66624464.

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 31 ways as a sum of consecutive naturals, for example, 56157587 + ... + 56158413.

Almost surely, 246442666000 is an apocalyptic number.

46442666000 is a gapful number since it is divisible by the number (40) 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 46442666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57612544704).

46442666000 is an abundant number, since it is smaller than the sum of its proper divisors (68782423408).

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

46442666000 is a wasteful number, since it uses less digits than its factorization.

46442666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 46442666000 in words is "forty-six billion, four hundred forty-two million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 653 688 827 860 1000 1075 1306 1654 1720 2000 2150 2612 3265 3308 3440 4135 4300 5224 5375 6530 6616 8270 8600 10448 10750 13060 13232 16325 16540 17200 20675 21500 26120 28079 32650 33080 35561 41350 43000 52240 56158 65300 66160 71122 81625 82700 86000 103375 112316 130600 140395 142244 163250 165400 177805 206750 224632 261200 280790 284488 326500 330800 355610 413500 449264 540031 561580 568976 653000 701975 711220 827000 889025 1080062 1123160 1306000 1403950 1422440 1654000 1778050 2160124 2246320 2700155 2807900 2844880 3509875 3556100 4320248 4445125 5400310 5615800 7019750 7112200 8640496 8890250 10800620 11231600 13500775 14039500 14224400 17780500 21601240 23221333 27001550 28079000 35561000 43202480 46442666 54003100 56158000 67503875 71122000 92885332 108006200 116106665 135007750 185770664 216012400 232213330 270015500 371541328 464426660 540031000 580533325 928853320 1080062000 1161066650 1857706640 2322133300 2902666625 4644266600 5805333250 9288533200 11610666500 23221333000 46442666000