Search a number
-
+
46985184721476 = 223247210922232
BaseRepresentation
bin10101010111011100101110…
…01111101011101001000100
320011100201222022022212020100
422223232113033223221010
522124301124242041401
6243532410151004100
712616365451366131
oct1253562717535104
9204321868285210
1046985184721476
1113a75339968381
12532a063369630
13202a8b7711ca1
14b86148c53588
155672d4943b86
hex2abb973eba44

46985184721476 has 243 divisors, whose sum is σ = 123024024460701. Its totient is φ = 15119764492608.

The previous prime is 46985184721411. The next prime is 46985184721487. The reversal of 46985184721476 is 67412748158964.

The square root of 46985184721476 is 6854574.

It is a perfect power (a square), and thus also a powerful number.

46985184721476 is a `hidden beast` number, since 4 + 6 + 9 + 8 + 5 + 1 + 8 + 472 + 147 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32748448335876 + 14236736385600 = 5722626^2 + 3773160^2 .

It is a super-2 number, since 2×469851847214762 (a number of 28 digits) contains 22 as substring.

Its product of digits (650280960) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 210695895501 + ... + 210695895723.

Almost surely, 246985184721476 is an apocalyptic number.

46985184721476 is the 6854574-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46985184721476

46985184721476 is an abundant number, since it is smaller than the sum of its proper divisors (76038839739225).

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

46985184721476 is a wasteful number, since it uses less digits than its factorization.

46985184721476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 384 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 46985184721476 in words is "forty-six trillion, nine hundred eighty-five billion, one hundred eighty-four million, seven hundred twenty-one thousand, four hundred seventy-six".