Search a number
-
+
421213618432 = 2823125956821
BaseRepresentation
bin1100010000100100100…
…10011100000100000000
31111021020002201211202101
412020102102130010000
523400121141242212
6521300341400144
742301031453035
oct6102222340400
91437202654671
10421213618432
111526aa119962
1269773709054
1330949597c99
141655b72138c
15ae53e90157
hex621249c100

421213618432 has 72 divisors (see below), whose sum is σ = 878049910080. Its totient is φ = 201286440960.

The previous prime is 421213618421. The next prime is 421213618433. The reversal of 421213618432 is 234816312124.

It is a junction number, because it is equal to n+sod(n) for n = 421213618391 and 421213618400.

It is not an unprimeable number, because it can be changed into a prime (421213618433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7384582 + ... + 7441402.

It is an arithmetic number, because the mean of its divisors is an integer number (12195137640).

Almost surely, 2421213618432 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 421213618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439024955040).

421213618432 is an abundant number, since it is smaller than the sum of its proper divisors (456836291648).

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

421213618432 is a wasteful number, since it uses less digits than its factorization.

421213618432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58119 (or 58105 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The spelling of 421213618432 in words is "four hundred twenty-one billion, two hundred thirteen million, six hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1259 1472 2518 2944 5036 5888 10072 20144 28957 40288 56821 57914 80576 113642 115828 161152 227284 231656 322304 454568 463312 909136 926624 1306883 1818272 1853248 2613766 3636544 3706496 5227532 7273088 7412992 10455064 14546176 20910128 41820256 71537639 83640512 143075278 167281024 286150556 334562048 572301112 1144602224 1645365697 2289204448 3290731394 4578408896 6581462788 9156817792 13162925576 18313635584 26325851152 52651702304 105303404608 210606809216 421213618432