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3946068904368 = 2431973101358511
BaseRepresentation
bin111001011011000100000…
…010010000100110110000
3111222020111022211011212210
4321123010002100212300
51004123022114414433
612220444331252120
7555044160155133
oct71330402204660
914866438734783
103946068904368
111291578028258
125389365aa040
132281607b1226
14d8dc28b421a
156c9a6451463
hex396c40909b0

3946068904368 has 160 divisors (see below), whose sum is σ = 10888455951360. Its totient is φ = 1227822520320.

The previous prime is 3946068904367. The next prime is 3946068904429. The reversal of 3946068904368 is 8634098606493.

It is a junction number, because it is equal to n+sod(n) for n = 3946068904299 and 3946068904308.

It is not an unprimeable number, because it can be changed into a prime (3946068904367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67412233 + ... + 67470743.

It is an arithmetic number, because the mean of its divisors is an integer number (68052849696).

Almost surely, 23946068904368 is an apocalyptic number.

3946068904368 is a gapful number since it is divisible by the number (38) 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 3946068904368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444227975680).

3946068904368 is an abundant number, since it is smaller than the sum of its proper divisors (6942387046992).

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

3946068904368 is a wasteful number, since it uses less digits than its factorization.

3946068904368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59627 (or 59621 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 66.

The spelling of 3946068904368 in words is "three trillion, nine hundred forty-six billion, sixty-eight million, nine hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 219 228 292 304 438 456 584 876 912 1013 1168 1387 1752 2026 2774 3039 3504 4052 4161 5548 6078 8104 8322 11096 12156 16208 16644 19247 22192 24312 33288 38494 48624 57741 58511 66576 73949 76988 115482 117022 147898 153976 175533 221847 230964 234044 295796 307952 351066 443694 461928 468088 591592 702132 887388 923856 936176 1111709 1183184 1404264 1405031 1774776 2223418 2808528 2810062 3335127 3549552 4215093 4271303 4446836 5620124 6670254 8430186 8542606 8893672 11240248 12813909 13340508 16860372 17085212 17787344 22480496 25627818 26681016 33720744 34170424 51255636 53362032 59271643 67441488 68340848 81154757 102511272 118543286 162309514 177814929 205022544 237086572 243464271 324619028 355629858 474173144 486928542 649238056 711259716 948346288 973857084 1126161217 1298476112 1422519432 1947714168 2252322434 2845038864 3378483651 3895428336 4326829939 4504644868 6756967302 8653659878 9009289736 12980489817 13513934604 17307319756 18018579472 25960979634 27027869208 34614639512 51921959268 54055738416 69229279024 82209768841 103843918536 164419537682 207687837072 246629306523 328839075364 493258613046 657678150728 986517226092 1315356301456 1973034452184 3946068904368