Search a number
-
+
461366416764 = 22 ⋅ 32 ⋅ 11 ⋅ 97 ⋅ 131 ⋅ 277 ⋅ 331
BaseRepresentation
bin1101011011010111001…
……01001101010101111100
31122002212102022100011100
412231223211031111330
530024334300314024
6551540535253100
745222042560031
oct6555345152574
91562772270140
10461366416764
11168734350610
12754ba81a190
13346781b9056
141848a305388
15c0040aa7c9
hex6b6b94d57c

Search a number

(max 15 digits)

461366416764 has 288 divisors, whose sum is σ = 1303783633152. Its totient is φ = 136401408000.

The previous prime is 461366416759. The next prime is 461366416769. The reversal of 461366416764 is 467614663164.

461366416764 is a `hidden beast` number, since 4 + 61 + 366 + 4 + 167 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (461366416759) and next prime (461366416769).

It is a self number, because there is not a number n which added to its sum of digits gives 461366416764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461366416769) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1393856079 + ... + 1393856409.

It is an arithmetic number, because the mean of its divisors is an integer number (4527026504).

Almost surely, 2461366416764 is an apocalyptic number.

461366416764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461366416764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651891816576).

461366416764 is an abundant number, since it is smaller than the sum of its proper divisors (842417216388).

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

461366416764 is a wasteful number, since it uses less digits than its factorization.

461366416764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 852 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 461366416764 in words is "four hundred sixty-one billion, three hundred sixty-six million, four hundred sixteen thousand, seven hundred sixty-four".