Search a number
-
+
467045240430216 = 233723472779141183
BaseRepresentation
bin110101000110001100111000…
…1101001100101111010001000
32021020200002101211110120210210
41222030121301221211322020
5442204032123022231331
64333153342122241120
7200242622306433300
oct15214316151457210
92236602354416723
10467045240430216
111258a6857418948
12444705b60561a0
131707b23c3a75a6
148349178750600
1538eddb9eb2446
hex1a8c671a65e88

467045240430216 has 192 divisors, whose sum is σ = 1362240150036480. Its totient is φ = 133048921111680.

The previous prime is 467045240430143. The next prime is 467045240430227. The reversal of 467045240430216 is 612034042540764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11340708361 + ... + 11340749543.

It is an arithmetic number, because the mean of its divisors is an integer number (7095000781440).

Almost surely, 2467045240430216 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 467045240430216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681120075018240).

467045240430216 is an abundant number, since it is smaller than the sum of its proper divisors (895194909606264).

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

467045240430216 is a wasteful number, since it uses less digits than its factorization.

467045240430216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69344 (or 69333 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 467045240430216 in words is "four hundred sixty-seven trillion, forty-five billion, two hundred forty million, four hundred thirty thousand, two hundred sixteen".