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914105960456 = 2313191275416733
BaseRepresentation
bin11010100110101001111…
…01100000100000001000
310020101110121122010020012
431103110331200200020
5104434042111213311
61535533503051052
7123020253314453
oct15232475404010
93211417563205
10914105960456
11322740a90757
121291b02a0a88
136827a017780
14323589a249a
1518ba0ae078b
hexd4d4f60808

914105960456 has 128 divisors (see below), whose sum is σ = 1962147532800. Its totient is φ = 395751121920.

The previous prime is 914105960431. The next prime is 914105960459. The reversal of 914105960456 is 654069501419.

It is not an unprimeable number, because it can be changed into a prime (914105960459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135761666 + ... + 135768398.

It is an arithmetic number, because the mean of its divisors is an integer number (15329277600).

Almost surely, 2914105960456 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 914105960456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981073766400).

914105960456 is an abundant number, since it is smaller than the sum of its proper divisors (1048041572344).

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

914105960456 is a wasteful number, since it uses less digits than its factorization.

914105960456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7439 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 914105960456 in words is "nine hundred fourteen billion, one hundred five million, nine hundred sixty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 127 152 247 254 494 508 541 988 1016 1082 1651 1976 2164 2413 3302 4328 4826 6604 6733 7033 9652 10279 13208 13466 14066 19304 20558 26932 28132 31369 41116 53864 56264 62738 68707 82232 87529 125476 127927 133627 137414 175058 250952 255854 267254 274828 350116 511708 534508 549656 700232 855091 893191 1023416 1069016 1305433 1663051 1710182 1786382 2610866 3326102 3420364 3572764 3642553 5221732 6652204 6840728 7145528 7285106 10443464 11116183 13304408 14570212 16246729 16970629 22232366 29140424 32493458 33941258 44464732 47353189 64986916 67882516 69208507 88929464 94706378 129973832 135765032 138417014 189412756 211207477 276834028 378825512 422414954 462604231 553668056 844829908 899710591 925208462 1689659816 1799421182 1850416924 3598842364 3700833848 6013855003 7197684728 8789480389 12027710006 17578960778 24055420012 35157921556 48110840024 70315843112 114263245057 228526490114 457052980228 914105960456