Search a number
-
+
469293222392964 = 2232332922039177679
BaseRepresentation
bin110101010110100011101011…
…1110100001111010010000100
32021112121222211120010101012200
41222231013113310033102010
5443002400004413033324
64342034155145314500
7200564213352023514
oct15255072764172204
92245558746111180
10469293222392964
111265931576566a2
1244774206795a30
13171b22128a9558
1483c5cad9bd844
15393c5d8a31ec9
hex1aad1d7d0f484

469293222392964 has 72 divisors (see below), whose sum is σ = 1186685843616000. Its totient is φ = 156376107823104.

The previous prime is 469293222392887. The next prime is 469293222392999.

469293222392964 is a `hidden beast` number, since 4 + 6 + 9 + 2 + 9 + 3 + 222 + 392 + 9 + 6 + 4 = 666.

469293222392964 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4692932223929642 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 469293222392892 and 469293222392901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641153077 + ... + 2641330755.

It is an arithmetic number, because the mean of its divisors is an integer number (16481747828000).

Almost surely, 2469293222392964 is an apocalyptic number.

It is an amenable number.

469293222392964 is an abundant number, since it is smaller than the sum of its proper divisors (717392621223036).

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

469293222392964 is a wasteful number, since it uses less digits than its factorization.

469293222392964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203057 (or 203052 counting only the distinct ones).

The product of its digits is 1088391168, while the sum is 72.

The spelling of 469293222392964 in words is "four hundred sixty-nine trillion, two hundred ninety-three billion, two hundred twenty-two million, three hundred ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3329 6658 9987 13316 19974 22039 29961 39948 44078 59922 66117 88156 119844 132234 177679 198351 264468 355358 396702 533037 710716 793404 1066074 1599111 2132148 3198222 6396444 73367831 146735662 220103493 293471324 440206986 591493391 660310479 880413972 1182986782 1320620958 1774480173 2365973564 2641241916 3548960346 3915867481 5323440519 7097920692 7831734962 10646881038 11747602443 15663469924 21293762076 23495204886 35242807329 46990409772 70485614658 140971229316 13035922844249 26071845688498 39107768532747 52143691376996 78215537065494 117323305598241 156431074130988 234646611196482 469293222392964