Search a number
-
+
46622149296 = 24311344319403
BaseRepresentation
bin101011011010111001…
…011000101010110000
311110100011210120120020
4223122321120222300
51230440232234141
633230134243440
73240224505342
oct533271305260
9143304716506
1046622149296
1118854a958a8
1290517b6580
1345200006b8
142383c8b292
15132d065266
hexadae58ab0

46622149296 has 80 divisors (see below), whose sum is σ = 121786955136. Its totient is φ = 15367625728.

The previous prime is 46622149271. The next prime is 46622149363. The reversal of 46622149296 is 69294122664.

46622149296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2393131 + ... + 2412533.

Almost surely, 246622149296 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 46622149296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60893477568).

46622149296 is an abundant number, since it is smaller than the sum of its proper divisors (75164805840).

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

46622149296 is a wasteful number, since it uses less digits than its factorization.

46622149296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19970 (or 19964 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 46622149296 in words is "forty-six billion, six hundred twenty-two million, one hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 443 452 678 886 904 1329 1356 1772 1808 2658 2712 3544 5316 5424 7088 10632 19403 21264 38806 50059 58209 77612 100118 116418 150177 155224 200236 232836 300354 310448 400472 465672 600708 800944 931344 1201416 2192539 2402832 4385078 6577617 8595529 8770156 13155234 17191058 17540312 25786587 26310468 34382116 35080624 51573174 52620936 68764232 103146348 105241872 137528464 206292696 412585392 971294777 1942589554 2913884331 3885179108 5827768662 7770358216 11655537324 15540716432 23311074648 46622149296