Search a number
-
+
466284394144992 = 253191033736653957
BaseRepresentation
bin110101000000101010100101…
…1101011010110010011100000
32021010222100112010221122020110
41222001111023223112103200
5442104100414400114432
64331412032110011320
7200133635652632223
oct15201251353262340
92233870463848213
10466284394144992
11125633112538615
12443690581a6b40
1317024578072ca7
1483203dc41d5ba
1538d91d923adcc
hex1a8154bad64e0

466284394144992 has 192 divisors, whose sum is σ = 1304414245854720. Its totient is φ = 145427158923264.

The previous prime is 466284394144937. The next prime is 466284394145027. The reversal of 466284394144992 is 299441493482664.

It is a super-2 number, since 2×4662843941449922 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66749278 + ... + 73403234.

It is an arithmetic number, because the mean of its divisors is an integer number (6793824197160).

Almost surely, 2466284394144992 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 466284394144992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652207122927360).

466284394144992 is an abundant number, since it is smaller than the sum of its proper divisors (838129851709728).

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

466284394144992 is a wasteful number, since it uses less digits than its factorization.

466284394144992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654465 (or 6654457 counting only the distinct ones).

The product of its digits is 2579890176, while the sum is 75.

The spelling of 466284394144992 in words is "four hundred sixty-six trillion, two hundred eighty-four billion, three hundred ninety-four million, one hundred forty-four thousand, nine hundred ninety-two".