Search a number
-
+
421830574461760 = 2652305757172249
BaseRepresentation
bin101111111101001110001010…
…1100010111101001101000000
32001022120121110000112101000211
41133322130111202331031000
5420242233004030234020
64053054142440523504
7154565152606106632
oct13772342542751500
92038517400471024
10421830574461760
11112454384201a32
123b389711a80594
131514b5b6165479
1476249ccad8a52
1533b7babcbc85a
hex17fa7158bd340

421830574461760 has 56 divisors (see below), whose sum is σ = 1004527638261000. Its totient is φ = 168724908785664.

The previous prime is 421830574461749. The next prime is 421830574461893. The reversal of 421830574461760 is 67164475038124.

It can be written as a sum of positive squares in 4 ways, for example, as 186751028513344 + 235079545948416 = 13665688^2 + 15332304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 421830574461695 and 421830574461704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21207885 + ... + 35964364.

It is an arithmetic number, because the mean of its divisors is an integer number (17937993540375).

Almost surely, 2421830574461760 is an apocalyptic number.

421830574461760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421830574461760 is an abundant number, since it is smaller than the sum of its proper divisors (582697063799240).

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

421830574461760 is a wasteful number, since it uses less digits than its factorization.

421830574461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57195323 (or 57195313 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 421830574461760 in words is "four hundred twenty-one trillion, eight hundred thirty billion, five hundred seventy-four million, four hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 23057 46114 92228 115285 184456 230570 368912 461140 737824 922280 1475648 1844560 3689120 7378240 57172249 114344498 228688996 285861245 457377992 571722490 914755984 1143444980 1829511968 2286889960 3659023936 4573779920 9147559840 18295119680 1318220545193 2636441090386 5272882180772 6591102725965 10545764361544 13182205451930 21091528723088 26364410903860 42183057446176 52728821807720 84366114892352 105457643615440 210915287230880 421830574461760