Search a number
-
+
68433263780 = 22572653106937
BaseRepresentation
bin111111101110111100…
…001011110010100100
320112122020020222211012
4333232330023302210
52110122403420110
651234322201352
74641561100400
oct775674136244
9215566228735
1068433263780
112702787aa52
121131a1b3258
1365b798a2bb
143452900100
151ba7cd2905
hexfeef0bca4

68433263780 has 72 divisors (see below), whose sum is σ = 167430260088. Its totient is φ = 23426683392.

The previous prime is 68433263741. The next prime is 68433263803. The reversal of 68433263780 is 8736233486.

It can be written as a sum of positive squares in 4 ways, for example, as 1228923136 + 67204340644 = 35056^2 + 259238^2 .

It is a super-2 number, since 2×684332637802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586472 + ... + 693408.

It is an arithmetic number, because the mean of its divisors is an integer number (2325420279).

Almost surely, 268433263780 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 68433263780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83715130044).

68433263780 is an abundant number, since it is smaller than the sum of its proper divisors (98996996308).

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

68433263780 is a wasteful number, since it uses less digits than its factorization.

68433263780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107613 (or 107604 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 68433263780 in words is "sixty-eight billion, four hundred thirty-three million, two hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 653 980 1306 2612 3265 4571 6530 9142 13060 18284 22855 31997 45710 63994 91420 106937 127988 159985 213874 319970 427748 534685 639940 748559 1069370 1497118 2138740 2994236 3742795 5239913 7485590 10479826 14971180 20959652 26199565 52399130 69829861 104798260 139659722 279319444 349149305 488809027 698298610 977618054 1396597220 1955236108 2444045135 3421663189 4888090270 6843326378 9776180540 13686652756 17108315945 34216631890 68433263780