Search a number
-
+
421289687632 = 241129971495711
BaseRepresentation
bin1100010000101101101…
…00100111101001010000
31111021102101212120002011
412020112310213221100
523400300130001012
6521312100032304
742302644155112
oct6102664475120
91437371776064
10421289687632
11152739055870
1269795092694
133095c280148
14165678833b2
15ae5a9b91a7
hex6216d27a50

421289687632 has 160 divisors (see below), whose sum is σ = 937065024000. Its totient is φ = 181726003200.

The previous prime is 421289687629. The next prime is 421289687657. The reversal of 421289687632 is 236786982124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73765257 + ... + 73770967.

It is an arithmetic number, because the mean of its divisors is an integer number (5856656400).

Almost surely, 2421289687632 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 421289687632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468532512000).

421289687632 is an abundant number, since it is smaller than the sum of its proper divisors (515775336368).

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

421289687632 is a wasteful number, since it uses less digits than its factorization.

421289687632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005 (or 5999 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 58.

The spelling of 421289687632 in words is "four hundred twenty-one billion, two hundred eighty-nine million, six hundred eighty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 97 116 149 176 194 232 298 319 388 464 596 638 776 1067 1192 1276 1552 1639 2134 2384 2552 2813 3278 4268 4321 5104 5626 5711 6556 8536 8642 11252 11422 13112 14453 17072 17284 22504 22844 26224 28906 30943 34568 45008 45688 47531 57812 61886 62821 69136 91376 95062 115624 123772 125642 158983 165619 190124 231248 247544 251284 317966 331238 380248 419137 495088 502568 553967 635932 662476 760496 838274 850939 1005136 1107934 1271864 1324952 1676548 1701878 1821809 2215868 2543728 2649904 3353096 3403756 3643618 4431736 4610507 6093637 6706192 6807512 7287236 8863472 9221014 9360329 12187274 13615024 14574472 16065043 18442028 18720658 24374548 24677231 29148944 32130086 36884056 37441316 48749096 49354462 64260172 73768112 74882632 82541083 97498192 98708924 128520344 149765264 165082166 176715473 197417848 257040688 271449541 330164332 353430946 394835696 542899082 660328664 706861892 907951913 1085798164 1320657328 1413723784 1815903826 2171596328 2393691407 2827447568 3631807652 4343192656 4787382814 7263615304 9574765628 14527230608 19149531256 26330605477 38299062512 52661210954 105322421908 210644843816 421289687632