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421749512960 = 2851722738527
BaseRepresentation
bin1100010001100100011…
…10101101101100000000
31111022121110010002211212
412020302032231230000
523402220333403320
6521425443425252
742320226465536
oct6106216555400
91438543102755
10421749512960
111529546723a6
12698a3085228
1330a0360a039
14165ac97c156
15ae860489c5
hex62323adb00

421749512960 has 144 divisors (see below), whose sum is σ = 1070242782336. Its totient is φ = 158687821824.

The previous prime is 421749512959. The next prime is 421749512963. The reversal of 421749512960 is 69215947124.

It is a junction number, because it is equal to n+sod(n) for n = 421749512899 and 421749512908.

It is not an unprimeable number, because it can be changed into a prime (421749512963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49456217 + ... + 49464743.

It is an arithmetic number, because the mean of its divisors is an integer number (7432241544).

Almost surely, 2421749512960 is an apocalyptic number.

421749512960 is a gapful number since it is divisible by the number (40) 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 421749512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535121391168).

421749512960 is an abundant number, since it is smaller than the sum of its proper divisors (648493269376).

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

421749512960 is a wasteful number, since it uses less digits than its factorization.

421749512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10838 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 421749512960 in words is "four hundred twenty-one billion, seven hundred forty-nine million, five hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2273 2720 4352 4546 5440 8527 9092 10880 11365 17054 18184 21760 22730 34108 36368 38641 42635 45460 68216 72736 77282 85270 90920 136432 144959 145472 154564 170540 181840 193205 272864 289918 290944 309128 341080 363680 386410 545728 579836 581888 618256 682160 724795 727360 772820 1091456 1159672 1236512 1364320 1449590 1454720 1545640 2182912 2319344 2473024 2728640 2899180 2909440 3091280 4638688 4946048 5457280 5798360 6182560 9277376 9892096 10914560 11596720 12365120 18554752 19381871 23193440 24730240 37109504 38763742 46386880 49460480 77527484 92773760 96909355 155054968 185547520 193818710 310109936 329491807 387637420 620219872 658983614 775274840 1240439744 1317967228 1550549680 1647459035 2480879488 2635934456 3101099360 3294918070 4961758976 5271868912 6202198720 6589836140 10543737824 12404397440 13179672280 21087475648 24808794880 26359344560 42174951296 52718689120 84349902592 105437378240 210874756480 421749512960