Search a number
-
+
439426516672 = 261113101947119
BaseRepresentation
bin1100110010011111101…
…11001000011011000000
31120000020101111221021001
412121033313020123000
524144421142013142
6533511511141344
743514253522523
oct6311767103300
91500211457231
10439426516672
1115a3a58a3980
12711b7074854
133258c94a650
14173a852abba
15b66cd9e5b7
hex664fdc86c0

439426516672 has 112 divisors (see below), whose sum is σ = 1025459366400. Its totient is φ = 184189916160.

The previous prime is 439426516663. The next prime is 439426516687. The reversal of 439426516672 is 276615624934.

It is a happy 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, 9302329 + ... + 9349447.

It is an arithmetic number, because the mean of its divisors is an integer number (9155887200).

Almost surely, 2439426516672 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 439426516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512729683200).

439426516672 is an abundant number, since it is smaller than the sum of its proper divisors (586032849728).

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

439426516672 is a wasteful number, since it uses less digits than its factorization.

439426516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48174 (or 48164 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 55.

The spelling of 439426516672 in words is "four hundred thirty-nine billion, four hundred twenty-six million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1019 1144 2038 2288 4076 4576 8152 9152 11209 13247 16304 22418 26494 32608 44836 47119 52988 65216 89672 94238 105976 145717 179344 188476 211952 291434 358688 376952 423904 518309 582868 612547 717376 753904 847808 1036618 1165736 1225094 1507808 2073236 2331472 2450188 3015616 4146472 4662944 4900376 6738017 8292944 9325888 9800752 13476034 16585888 19601504 26952068 33171776 39203008 48014261 53904136 96028522 107808272 192057044 215616544 384114088 431233088 528156871 624185393 768228176 1056313742 1248370786 1536456352 2112627484 2496741572 3072912704 4225254968 4993483144 6866039323 8450509936 9986966288 13732078646 16901019872 19973932576 27464157292 33802039744 39947865152 54928314584 109856629168 219713258336 439426516672