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39803463420 = 22357243314851
BaseRepresentation
bin100101000100011110…
…001010011011111100
310210201222020102222220
4211010132022123330
51123004141312140
630141354205340
72606236566600
oct450436123374
9123658212886
1039803463420
1115976021216
12786a123850
1339a443b826
141cd844b500
15107e613bd0
hex94478a6fc

39803463420 has 144 divisors (see below), whose sum is σ = 132661001088. Its totient is φ = 8886326400.

The previous prime is 39803463419. The next prime is 39803463437. The reversal of 39803463420 is 2436430893.

39803463420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31006 + ... + 283845.

It is an arithmetic number, because the mean of its divisors is an integer number (921256952).

Almost surely, 239803463420 is an apocalyptic number.

39803463420 is a gapful number since it is divisible by the number (30) 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 39803463420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66330500544).

39803463420 is an abundant number, since it is smaller than the sum of its proper divisors (92857537668).

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

39803463420 is a wasteful number, since it uses less digits than its factorization.

39803463420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314920 (or 314911 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 39803463420 in words is "thirty-nine billion, eight hundred three million, four hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 245 258 294 301 420 430 490 516 588 602 645 735 860 903 980 1204 1290 1470 1505 1806 2107 2580 2940 3010 3612 4214 4515 6020 6321 8428 9030 10535 12642 18060 21070 25284 31605 42140 63210 126420 314851 629702 944553 1259404 1574255 1889106 2203957 3148510 3778212 4407914 4722765 6297020 6611871 8815828 9445530 11019785 13223742 13538593 15427699 18891060 22039570 26447484 27077186 30855398 33059355 40615779 44079140 46283097 54154372 61710796 66118710 67692965 77138495 81231558 92566194 94770151 132237420 135385930 154276990 162463116 185132388 189540302 203078895 231415485 270771860 284310453 308553980 379080604 406157790 462830970 473850755 568620906 663391057 812315580 925661940 947701510 1137241812 1326782114 1421552265 1895403020 1990173171 2653564228 2843104530 3316955285 3980346342 5686209060 6633910570 7960692684 9950865855 13267821140 19901731710 39803463420