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20312242464 = 2531725912409
BaseRepresentation
bin10010111010101101…
…000011100100100000
31221102121001211101110
4102322231003210200
5313044413224324
613155321503320
71316233132533
oct227255034440
957377054343
1020312242464
118683805448
123b2a641b40
131bb92a0ba7
14da9964a1a
157dd397329
hex4bab43920

20312242464 has 144 divisors (see below), whose sum is σ = 57605234400. Its totient is φ = 6263955456.

The previous prime is 20312242463. The next prime is 20312242469. The reversal of 20312242464 is 46424221302.

It is not an unprimeable number, because it can be changed into a prime (20312242463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630692 + ... + 1643100.

It is an arithmetic number, because the mean of its divisors is an integer number (400036350).

Almost surely, 220312242464 is an apocalyptic number.

20312242464 is a gapful number since it is divisible by the number (24) 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 20312242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28802617200).

20312242464 is an abundant number, since it is smaller than the sum of its proper divisors (37292991936).

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

20312242464 is a wasteful number, since it uses less digits than its factorization.

20312242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20312242464 its reverse (46424221302), we get a palindrome (66736463766).

The spelling of 20312242464 in words is "twenty billion, three hundred twelve million, two hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 68 96 102 118 136 177 204 236 272 289 354 408 472 544 578 708 816 867 944 1003 1156 1416 1632 1734 1888 2006 2312 2832 3009 3468 4012 4624 5664 6018 6936 8024 9248 12036 12409 13872 16048 17051 24072 24818 27744 32096 34102 37227 48144 49636 51153 68204 74454 96288 99272 102306 136408 148908 198544 204612 210953 272816 297816 397088 409224 421906 545632 595632 632859 732131 818448 843812 1191264 1265718 1464262 1636896 1687624 2196393 2531436 2928524 3375248 3586201 4392786 5062872 5857048 6750496 7172402 8785572 10125744 10758603 11714096 12446227 14344804 17571144 20251488 21517206 23428192 24892454 28689608 35142288 37338681 43034412 49784908 57379216 70284576 74677362 86068824 99569816 114758432 149354724 172137648 199139632 211585859 298709448 344275296 398279264 423171718 597418896 634757577 846343436 1194837792 1269515154 1692686872 2539030308 3385373744 5078060616 6770747488 10156121232 20312242464