Search a number
-
+
426658856624 = 2471113191402081
BaseRepresentation
bin1100011010101101101…
…10010111111010110000
31111210021120220121021222
412031112312113322300
523442244131402444
6524000540004212
742553001305040
oct6152666277260
91453246817258
10426658856624
11154a4388aa10
126a833230668
1331306747010
14169169a1720
15b172043eee
hex6356d97eb0

426658856624 has 160 divisors (see below), whose sum is σ = 1168326888960. Its totient is φ = 145367654400.

The previous prime is 426658856621. The next prime is 426658856653.

It is a happy number.

426658856624 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (426658856621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396737 + ... + 1005344.

It is an arithmetic number, because the mean of its divisors is an integer number (7302043056).

Almost surely, 2426658856624 is an apocalyptic number.

426658856624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

426658856624 is an abundant number, since it is smaller than the sum of its proper divisors (741668032336).

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

426658856624 is a wasteful number, since it uses less digits than its factorization.

426658856624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402139 (or 1402133 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 62.

The spelling of 426658856624 in words is "four hundred twenty-six billion, six hundred fifty-eight million, eight hundred fifty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 19 22 26 28 38 44 52 56 76 77 88 91 104 112 133 143 152 154 176 182 208 209 247 266 286 304 308 364 418 494 532 572 616 728 836 988 1001 1064 1144 1232 1456 1463 1672 1729 1976 2002 2128 2288 2717 2926 3344 3458 3952 4004 5434 5852 6916 8008 10868 11704 13832 16016 19019 21736 23408 27664 38038 43472 76076 152152 304304 1402081 2804162 5608324 9814567 11216648 15422891 18227053 19629134 22433296 26639539 30845782 36454106 39258268 53279078 61691564 72908212 78516536 106558156 107960237 123383128 127589371 145816424 157033072 186476773 200497583 213116312 215920474 246766256 255178742 291632848 293034929 346314007 372953546 400995166 426232624 431840948 510357484 586069858 692628014 745907092 801990332 863681896 1020714968 1172139716 1385256028 1403483081 1491814184 1603980664 1727363792 2041429936 2051244503 2344279432 2424198049 2770512056 2806966162 2983628368 3207961328 3809454077 4102489006 4688558864 4848396098 5541024112 5613932324 7618908154 8204978012 9696792196 11227864648 15237816308 16409956024 19393584392 22455729296 26666178539 30475632616 32819912048 38787168784 53332357078 60951265232 106664714156 213329428312 426658856624