Search a number
-
+
420225500552 = 2311131961316937
BaseRepresentation
bin1100001110101110110…
…01000100010110001000
31111011200020102020211212
412013113121010112020
523341110212004202
6521014322512252
742234402550634
oct6072731042610
91434606366755
10420225500552
11152242381310
1269538805688
133081c95b250
14164a63c7dc4
15ade7359652
hex61d7644588

420225500552 has 128 divisors (see below), whose sum is σ = 990367862400. Its totient is φ = 164299622400.

The previous prime is 420225500521. The next prime is 420225500603. The reversal of 420225500552 is 255005522024.

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, 1167428 + ... + 1484364.

It is an arithmetic number, because the mean of its divisors is an integer number (7737248925).

Almost surely, 2420225500552 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 420225500552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495183931200).

420225500552 is an abundant number, since it is smaller than the sum of its proper divisors (570142361848).

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

420225500552 is a wasteful number, since it uses less digits than its factorization.

420225500552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317047 (or 317043 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The spelling of 420225500552 in words is "four hundred twenty billion, two hundred twenty-five million, five hundred thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 61 76 88 104 122 143 152 209 244 247 286 418 488 494 572 671 793 836 988 1144 1159 1342 1586 1672 1976 2318 2684 2717 3172 4636 5368 5434 6344 8723 9272 10868 12749 15067 17446 21736 25498 30134 34892 50996 60268 69784 101992 120536 165737 316937 331474 633874 662948 1267748 1325896 2535496 3486307 4120181 6021803 6972614 8240362 12043606 13945228 16480724 19333157 24087212 27890456 32961448 38666314 45321991 48174424 66239833 77332628 78283439 90643982 132479666 154665256 156566878 181287964 212664727 251331041 264959332 313133756 362575928 367329983 425329454 502662082 529918664 626267512 734659966 850658908 861117829 1005324164 1469319932 1701317816 1722235658 2010648328 2764641451 2938639864 3444471316 4040629813 4775289779 5529282902 6888942632 8081259626 9550579558 11058565804 16162519252 19101159116 22117131608 32325038504 38202318232 52528187569 105056375138 210112750276 420225500552