Search a number
-
+
336741813828 = 2232713726573671
BaseRepresentation
bin1001110011001110110…
…00000100111001000100
31012012012010010120001200
410321213120010321010
521004121401020303
6414410321422500
733220530122160
oct4714730047104
91165163116050
10336741813828
1111a8a1a7a8a2
125531a19aa30
13259a6b7c154
1412426ad9ca0
158b5d1023a3
hex4e67604e44

336741813828 has 144 divisors (see below), whose sum is σ = 980546321664. Its totient is φ = 95447715840.

The previous prime is 336741813809. The next prime is 336741813971. The reversal of 336741813828 is 828318147633.

It is a happy number.

336741813828 is a `hidden beast` number, since 33 + 67 + 418 + 138 + 2 + 8 = 666.

It is a super-2 number, since 2×3367418138282 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91728433 + ... + 91732103.

It is an arithmetic number, because the mean of its divisors is an integer number (6809349456).

Almost surely, 2336741813828 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 336741813828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490273160832).

336741813828 is an abundant number, since it is smaller than the sum of its proper divisors (643804507836).

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

336741813828 is a wasteful number, since it uses less digits than its factorization.

336741813828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6477 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 336741813828 in words is "three hundred thirty-six billion, seven hundred forty-one million, eight hundred thirteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2657 2877 3671 3836 4932 5314 5754 7342 7971 8631 10628 11013 11508 14684 15942 17262 18599 22026 23913 25697 31884 33039 34524 37198 44052 47826 51394 55797 66078 74396 77091 95652 102788 111594 132156 154182 167391 223188 231273 308364 334782 364009 462546 502927 669564 728018 925092 1005854 1092027 1456036 1508781 2011708 2184054 2548063 3017562 3276081 3520489 4368108 4526343 5096126 6035124 6552162 7040978 7644189 9052686 9753847 10192252 10561467 13104324 14081956 15288378 18105372 19507694 21122934 22932567 29261541 30576756 31684401 39015388 42245868 45865134 58523082 63368802 68276929 87784623 91730268 117046164 126737604 136553858 175569246 204830787 273107716 351138492 409661574 614492361 819323148 1228984722 1336277039 2457969444 2672554078 4008831117 5345108156 8017662234 9353939273 12026493351 16035324468 18707878546 24052986702 28061817819 37415757092 48105973404 56123635638 84185453457 112247271276 168370906914 336741813828