Search a number
-
+
66780034748 = 22723761150959
BaseRepresentation
bin111110001100011001…
…100111011010111100
320101101000102020221022
4332030121213122330
52043231142102443
650402303523312
74552604633600
oct761431473274
9211330366838
1066780034748
1126359652569
1210b385b9538
1363b330847b
143337111500
151b0cabbe68
hexf8c6676bc

66780034748 has 72 divisors (see below), whose sum is σ = 141909042240. Its totient is φ = 27389819520.

The previous prime is 66780034747. The next prime is 66780034757. The reversal of 66780034748 is 84743008766.

It is a self number, because there is not a number n which added to its sum of digits gives 66780034748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66780034747) 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, 366893 + ... + 517851.

It is an arithmetic number, because the mean of its divisors is an integer number (1970958920).

Almost surely, 266780034748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66780034748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70954521120).

66780034748 is an abundant number, since it is smaller than the sum of its proper divisors (75129007492).

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

66780034748 is a wasteful number, since it uses less digits than its factorization.

66780034748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151075 (or 151066 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 66780034748 in words is "sixty-six billion, seven hundred eighty million, thirty-four thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 49 61 74 98 122 148 196 244 259 427 518 854 1036 1708 1813 2257 2989 3626 4514 5978 7252 9028 11956 15799 31598 63196 110593 150959 221186 301918 442372 603836 1056713 2113426 4226852 5585483 7396991 9208499 11170966 14793982 18416998 22341932 29587964 36833996 39098381 64459493 78196762 128918986 156393524 257837972 273688667 340714463 451216451 547377334 681428926 902432902 1094754668 1362857852 1804865804 2385001241 4770002482 9540004964 16695008687 33390017374 66780034748