Search a number
-
+
263415649780 = 22561132154553
BaseRepresentation
bin1111010101010011001…
…0111101010111110100
3221011220220000110220001
43311110302331113310
513303433401243110
6321002251321044
725013454036223
oct3652462752764
9834826013801
10263415649780
11a17942a3518
1243075450184
131babc5c14ba
14ca6c456cba
156cba9c163a
hex3d54cbd5f4

263415649780 has 24 divisors (see below), whose sum is σ = 553263612552. Its totient is φ = 105348974592.

The previous prime is 263415649729. The next prime is 263415649787. The reversal of 263415649780 is 87946514362.

It can be written as a sum of positive squares in 4 ways, for example, as 68095504 + 263347554276 = 8252^2 + 513174^2 .

It is a super-2 number, since 2×2634156497802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263415649787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955017 + ... + 1199536.

It is an arithmetic number, because the mean of its divisors is an integer number (23052650523).

It is a 1-persistent number, because it is pandigital, but 2⋅263415649780 = 526831299560 is not.

Almost surely, 2263415649780 is an apocalyptic number.

263415649780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263415649780 is an abundant number, since it is smaller than the sum of its proper divisors (289847962772).

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

263415649780 is a wasteful number, since it uses less digits than its factorization.

263415649780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160675 (or 2160673 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 263415649780 in words is "two hundred sixty-three billion, four hundred fifteen million, six hundred forty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 6113 12226 24452 30565 61130 122260 2154553 4309106 8618212 10772765 21545530 43091060 13170782489 26341564978 52683129956 65853912445 131707824890 263415649780