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339081663492 = 22321113139473861
BaseRepresentation
bin1001110111100101101…
…01111001010000000100
31012102020011222020101100
410323302311321100010
521023414401212432
6415434424500100
733332521404255
oct4736265712004
91172204866340
10339081663492
11120892839550
125587191a630
1325c8a867590
14125a977cb2c
158c4874607c
hex4ef2d79404

339081663492 has 144 divisors (see below), whose sum is σ = 1014216315840. Its totient is φ = 94165459200.

The previous prime is 339081663461. The next prime is 339081663511. The reversal of 339081663492 is 294366180933.

339081663492 is a `hidden beast` number, since 3 + 3 + 90 + 8 + 1 + 6 + 63 + 492 = 666.

It is a super-2 number, since 2×3390816634922 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 478642 + ... + 952502.

It is an arithmetic number, because the mean of its divisors is an integer number (7043168860).

Almost surely, 2339081663492 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 339081663492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507108157920).

339081663492 is an abundant number, since it is smaller than the sum of its proper divisors (675134652348).

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

339081663492 is a wasteful number, since it uses less digits than its factorization.

339081663492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474034 (or 474029 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 339081663492 in words is "three hundred thirty-nine billion, eighty-one million, six hundred sixty-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 139 143 156 198 234 278 286 396 417 429 468 556 572 834 858 1251 1287 1529 1668 1716 1807 2502 2574 3058 3614 4587 5004 5148 5421 6116 7228 9174 10842 13761 16263 18348 19877 21684 27522 32526 39754 55044 59631 65052 79508 119262 178893 238524 357786 473861 715572 947722 1421583 1895444 2843166 4264749 5212471 5686332 6160193 8529498 10424942 12320386 15637413 17058996 18480579 20849884 24640772 31274826 36961158 46912239 55441737 62549652 65866679 67762123 73922316 93824478 110883474 131733358 135524246 187648956 197600037 203286369 221766948 263466716 271048492 395200074 406572738 592800111 609859107 724533469 790400148 813145476 856266827 1185600222 1219718214 1449066938 1712533654 2173600407 2371200444 2439436428 2568800481 2898133876 3425067308 4347200814 5137600962 6520801221 7706401443 8694401628 9418935097 10275201924 13041602442 15412802886 18837870194 26083204884 28256805291 30825605772 37675740388 56513610582 84770415873 113027221164 169540831746 339081663492