Search a number
-
+
46984166304 = 2531792734181
BaseRepresentation
bin101011110000011110…
…010111101110100000
311111021101222221112120
4223300132113232200
51232210421310204
633330105424240
73252211552455
oct536036275640
9144241887476
1046984166304
1118a20378609
129132a9b080
13457a00354a
1423b9da582c
15134ec246d9
hexaf0797ba0

46984166304 has 48 divisors (see below), whose sum is σ = 124022495520. Its totient is φ = 15573889280.

The previous prime is 46984166263. The next prime is 46984166329. The reversal of 46984166304 is 40366148964.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1349907 + ... + 1384274.

It is an arithmetic number, because the mean of its divisors is an integer number (2583801990).

Almost surely, 246984166304 is an apocalyptic number.

It is an amenable number.

46984166304 is an abundant number, since it is smaller than the sum of its proper divisors (77038329216).

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

46984166304 is a wasteful number, since it uses less digits than its factorization.

46984166304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734373 (or 2734365 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 46984166304 in words is "forty-six billion, nine hundred eighty-four million, one hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 17184 2734181 5468362 8202543 10936724 16405086 21873448 32810172 43746896 65620344 87493792 131240688 262481376 489418399 978836798 1468255197 1957673596 2936510394 3915347192 5873020788 7830694384 11746041576 15661388768 23492083152 46984166304