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43434433696 = 2517401199109
BaseRepresentation
bin101000011100111001…
…001101110010100000
311011010000112211211111
4220130321031302200
51202423203334241
631541542353104
73065226411013
oct503471156240
9134100484744
1043434433696
11174696729a5
12850212b794
134132773454
14216077d37a
1511e3291c81
hexa1ce4dca0

43434433696 has 48 divisors (see below), whose sum is σ = 90767877480. Its totient is φ = 20388659200.

The previous prime is 43434433661. The next prime is 43434433703. The reversal of 43434433696 is 69633443434.

It can be written as a sum of positive squares in 4 ways, for example, as 42338823696 + 1095610000 = 205764^2 + 33100^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118590 + ... + 317698.

Almost surely, 243434433696 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 43434433696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45383938740).

43434433696 is an abundant number, since it is smaller than the sum of its proper divisors (47333443784).

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

43434433696 is a wasteful number, since it uses less digits than its factorization.

43434433696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199537 (or 199529 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 49.

The spelling of 43434433696 in words is "forty-three billion, four hundred thirty-four million, four hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 401 544 802 1604 3208 6416 6817 12832 13634 27268 54536 109072 199109 218144 398218 796436 1592872 3185744 3384853 6371488 6769706 13539412 27078824 54157648 79842709 108315296 159685418 319370836 638741672 1277483344 1357326053 2554966688 2714652106 5429304212 10858608424 21717216848 43434433696