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8939314789312 = 264119130758099
BaseRepresentation
bin1000001000010101100010…
…1011101011101111000000
31011122120221012212201020111
42002011120223223233000
52132430204041224222
631002355311521104
71611562360663615
oct202053053535700
934576835781214
108939314789312
112937162173146
1210045ba529194
134cac874a0bbb
1422c94522850c
151077eac28777
hex82158aebbc0

8939314789312 has 112 divisors (see below), whose sum is σ = 18326565734400. Its totient is φ = 4323606681600.

The previous prime is 8939314789217. The next prime is 8939314789459. The reversal of 8939314789312 is 2139874139398.

It is a happy number.

It is a super-2 number, since 2×89393147893122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 153834439 + ... + 153892537.

It is an arithmetic number, because the mean of its divisors is an integer number (163630051200).

Almost surely, 28939314789312 is an apocalyptic number.

8939314789312 is a gapful number since it is divisible by the number (82) 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 8939314789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163282867200).

8939314789312 is an abundant number, since it is smaller than the sum of its proper divisors (9387250945088).

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

8939314789312 is a wasteful number, since it uses less digits than its factorization.

8939314789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58650 (or 58640 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 67.

The spelling of 8939314789312 in words is "eight trillion, nine hundred thirty-nine billion, three hundred fourteen million, seven hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 191 307 328 382 614 656 764 1228 1312 1528 2456 2624 3056 4912 6112 7831 9824 12224 12587 15662 19648 25174 31324 50348 58099 58637 62648 100696 116198 117274 125296 201392 232396 234548 250592 402784 464792 469096 501184 805568 929584 938192 1859168 1876384 2382059 2404117 3718336 3752768 4764118 4808234 9528236 9616468 11096909 17836393 19056472 19232936 22193818 35672786 38112944 38465872 44387636 71345572 76225888 76931744 88775272 142691144 152451776 153863488 177550544 285382288 355101088 454973269 570764576 710202176 731292113 909946538 1141529152 1462584226 1819893076 2925168452 3406751063 3639786152 5850336904 6813502126 7279572304 11700673808 13627004252 14559144608 23401347616 27254008504 29118289216 46802695232 54508017008 109016034016 139676793583 218032068032 279353587166 558707174332 1117414348664 2234828697328 4469657394656 8939314789312