Search a number
-
+
163442780416 = 283836192693
BaseRepresentation
bin1001100000110111110…
…0101110100100000000
3120121212121102111212201
42120031330232210000
510134212322433131
6203030134002544
714544156465616
oct2301574564400
9517777374781
10163442780416
1163352209033
12278147a6454
13125495c09b6
147ca6c596b6
1543b8d45761
hex260df2e900

163442780416 has 72 divisors (see below), whose sum is σ = 327749022720. Its totient is φ = 81346123776.

The previous prime is 163442780411. The next prime is 163442780437. The reversal of 163442780416 is 614087244361.

It is a super-2 number, since 2×1634427804162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163442780411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60690366 + ... + 60693058.

It is an arithmetic number, because the mean of its divisors is an integer number (4552069760).

Almost surely, 2163442780416 is an apocalyptic number.

163442780416 is a gapful number since it is divisible by the number (16) 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 163442780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163874511360).

163442780416 is an abundant number, since it is smaller than the sum of its proper divisors (164306242304).

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

163442780416 is an equidigital number, since it uses as much as digits as its factorization.

163442780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 163442780416 in words is "one hundred sixty-three billion, four hundred forty-two million, seven hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 383 619 766 1238 1532 2476 2693 3064 4952 5386 6128 9904 10772 12256 19808 21544 24512 39616 43088 49024 79232 86176 98048 158464 172352 237077 344704 474154 689408 948308 1031419 1666967 1896616 2062838 3333934 3793232 4125676 6667868 7586464 8251352 13335736 15172928 16502704 26671472 30345856 33005408 53342944 60691712 66010816 106685888 132021632 213371776 264043264 426743552 638448361 1276896722 2553793444 5107586888 10215173776 20430347552 40860695104 81721390208 163442780416