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421256605050 = 2325237163155219
BaseRepresentation
bin1100010000101001101…
…10011010110101111010
31111021100002121210022100
412020110312122311322
523400213142330200
6521304515004230
742302063030331
oct6102466326572
91437302553270
10421256605050
1115272140a396
1269785b99676
1330955469058
1416563310d18
15ae57b31d00
hex6214d9ad7a

421256605050 has 144 divisors (see below), whose sum is σ = 1169503227360. Its totient is φ = 108627765120.

The previous prime is 421256605027. The next prime is 421256605051. The reversal of 421256605050 is 50506652124.

421256605050 is a `hidden beast` number, since 4 + 21 + 25 + 6 + 605 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 421256604996 and 421256605014.

It is not an unprimeable number, because it can be changed into a prime (421256605051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2636341 + ... + 2791559.

It is an arithmetic number, because the mean of its divisors is an integer number (8121550190).

Almost surely, 2421256605050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421256605050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584751613680).

421256605050 is an abundant number, since it is smaller than the sum of its proper divisors (748246622310).

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

421256605050 is a wasteful number, since it uses less digits than its factorization.

421256605050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155437 (or 155429 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 421256605050 in words is "four hundred twenty-one billion, two hundred fifty-six million, six hundred five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 163 185 222 225 326 333 370 450 489 555 666 815 925 978 1110 1467 1630 1665 1850 2445 2775 2934 3330 4075 4890 5550 6031 7335 8150 8325 12062 12225 14670 16650 18093 24450 30155 36186 36675 54279 60310 73350 90465 108558 150775 155219 180930 271395 301550 310438 452325 465657 542790 776095 904650 931314 1356975 1396971 1552190 2328285 2713950 2793942 3880475 4656570 5743103 6984855 7760950 11486206 11641425 13969710 17229309 23282850 25300697 28715515 34458618 34924275 50601394 51687927 57431030 69848550 75902091 86146545 103375854 126503485 143577575 151804182 172293090 227706273 253006970 258439635 287155150 379510455 430732725 455412546 516879270 632517425 759020910 861465450 936125789 1138531365 1265034850 1292198175 1872251578 1897552275 2277062730 2584396350 2808377367 3795104550 4680628945 5616754734 5692656825 8425132101 9361257890 11385313650 14041886835 16850264202 23403144725 28083773670 42125660505 46806289450 70209434175 84251321010 140418868350 210628302525 421256605050