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46222243344 = 24321276413943
BaseRepresentation
bin101011000011000011…
…110111011000010000
311102022022022020201200
4223003003313120100
51224130343241334
633122331031200
73224300404644
oct530303673020
9142268266650
1046222243344
111866a284612
128b5b89b500
1344881c2b64
142346b0cc24
151307dbe799
hexac30f7610

46222243344 has 120 divisors (see below), whose sum is σ = 130613164032. Its totient is φ = 15258378240.

The previous prime is 46222243339. The next prime is 46222243357. The reversal of 46222243344 is 44334222264.

46222243344 is a `hidden beast` number, since 4 + 622 + 2 + 24 + 3 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46222243299 and 46222243308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11720637 + ... + 11724579.

Almost surely, 246222243344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46222243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65306582016).

46222243344 is an abundant number, since it is smaller than the sum of its proper divisors (84390920688).

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

46222243344 is a wasteful number, since it uses less digits than its factorization.

46222243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4716 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

The spelling of 46222243344 in words is "forty-six billion, two hundred twenty-two million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 641 762 1016 1143 1282 1524 1923 2032 2286 2564 3048 3846 3943 4572 5128 5769 6096 7692 7886 9144 10256 11538 11829 15384 15772 18288 23076 23658 30768 31544 35487 46152 47316 63088 70974 81407 92304 94632 141948 162814 189264 244221 283896 325628 488442 500761 567792 651256 732663 976884 1001522 1302512 1465326 1502283 1953768 2003044 2527463 2930652 3004566 3907536 4006088 4506849 5054926 5861304 6009132 7582389 8012176 9013698 10109852 11722608 12018264 15164778 18027396 20219704 22747167 24036528 30329556 36054792 40439408 45494334 60659112 72109584 90988668 121318224 181977336 320987801 363954672 641975602 962963403 1283951204 1925926806 2567902408 2888890209 3851853612 5135804816 5777780418 7703707224 11555560836 15407414448 23111121672 46222243344