Search a number
-
+
460673881310664 = 23327914035478791
BaseRepresentation
bin110100010111110101111111…
…1000011011000010111001000
32020102002222210212020010202200
41220233223333003120113020
5440340140102103420124
64311434354240400200
7166014406141460220
oct15057537703302710
92212088725203680
10460673881310664
1112386a77229052a
1243801826916060
1316a0848c3372c8
1481a8a404d7080
15383d2b8c8cbc9
hex1a2faff0d85c8

460673881310664 has 48 divisors (see below), whose sum is σ = 1425895346915520. Its totient is φ = 131621108945760.

The previous prime is 460673881310663. The next prime is 460673881310803. The reversal of 460673881310664 is 466013188376064.

460673881310664 is a `hidden beast` number, since 4 + 6 + 0 + 67 + 388 + 131 + 0 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (460673881310663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457017738892 + ... + 457017739899.

It is an arithmetic number, because the mean of its divisors is an integer number (29706153060740).

Almost surely, 2460673881310664 is an apocalyptic number.

It is an amenable number.

460673881310664 is an abundant number, since it is smaller than the sum of its proper divisors (965221465604856).

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

460673881310664 is a wasteful number, since it uses less digits than its factorization.

460673881310664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914035478810 (or 914035478803 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 460673881310664 in words is "four hundred sixty trillion, six hundred seventy-three billion, eight hundred eighty-one million, three hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 914035478791 1828070957582 2742106436373 3656141915164 5484212872746 6398248351537 7312283830328 8226319309119 10968425745492 12796496703074 16452638618238 19194745054611 21936851490984 25592993406148 32905277236476 38389490109222 51185986812296 57584235163833 65810554472952 76778980218444 115168470327666 153557960436888 230336940655332 460673881310664