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9343000133012 = 2271310126473889
BaseRepresentation
bin1000011111110101011000…
…1101000011110110010100
31020002011220202001221101102
42013331112031003312110
52211033431013224022
631512040501445232
71653003152540120
oct207752615036624
936064822057342
109343000133012
112a82387004837
12106a89ba10818
1352a06c4a0a90
142442bca34580
15113075e40a92
hex87f56343d94

9343000133012 has 144 divisors (see below), whose sum is σ = 20361246877440. Its totient is φ = 3652940851200.

The previous prime is 9343000133003. The next prime is 9343000133039. The reversal of 9343000133012 is 2103310003439.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2402415164 + ... + 2402419052.

It is an arithmetic number, because the mean of its divisors is an integer number (141397547760).

Almost surely, 29343000133012 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 9343000133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180623438720).

9343000133012 is an abundant number, since it is smaller than the sum of its proper divisors (11018246744428).

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

9343000133012 is a wasteful number, since it uses less digits than its factorization.

9343000133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 9343000133012 in words is "nine trillion, three hundred forty-three billion, one hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 647 707 1294 1313 1414 2588 2626 2828 3889 4529 5252 7778 8411 9058 9191 10201 15556 16822 18116 18382 20402 27223 33644 36764 40804 50557 54446 58877 65347 71407 101114 108892 117754 130694 132613 142814 202228 235508 261388 265226 285628 353899 392789 457429 530452 707798 785578 849511 914858 928291 1415596 1571156 1699022 1829716 1856582 2516183 2749523 3398044 3713164 5032366 5106257 5499046 5946577 6600047 10064732 10212514 10998092 11893154 13200094 17613281 20425028 23786308 26400188 32710379 35226562 35743799 39671689 46200329 65420758 70453124 71487598 79343378 85800611 92400658 130841516 142975196 158686756 171601222 184801316 228972653 254134483 277701823 343202444 457945306 508268966 515731957 555403646 600604277 915890612 1016537932 1031463914 1110807292 1201208554 1778941381 2062927828 2402417108 3303748279 3557882762 3610123699 6607496558 7115765524 7220247398 13214993116 14440494796 23126237953 25667582783 46252475906 51335165566 92504951812 102670331132 179673079481 333678576179 359346158962 667357152358 718692317924 1334714304716 2335750033253 4671500066506 9343000133012