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46434665728 = 281121499053
BaseRepresentation
bin101011001111101110…
…001100010100000000
311102212010000102110101
4223033232030110000
51230044233300403
633155400012144
73232460101123
oct531756142400
9142763012411
1046434665728
1118769181700
128bbaa61054
1344c0209489
1423670063ba
15131b87e71d
hexacfb8c500

46434665728 has 54 divisors (see below), whose sum is σ = 101880207002. Its totient is φ = 21106652160.

The previous prime is 46434665689. The next prime is 46434665729. The reversal of 46434665728 is 82756643464.

It can be written as a sum of positive squares in only one way, i.e., 36264346624 + 10170319104 = 190432^2 + 100848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46434665729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 718551 + ... + 780502.

Almost surely, 246434665728 is an apocalyptic number.

It is an amenable number.

46434665728 is an abundant number, since it is smaller than the sum of its proper divisors (55445541274).

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

46434665728 is a wasteful number, since it uses less digits than its factorization.

46434665728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499091 (or 1499066 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 55.

The spelling of 46434665728 in words is "forty-six billion, four hundred thirty-four million, six hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976 1499053 2998106 5996212 11992424 16489583 23984848 32979166 47969696 65958332 95939392 131916664 181385413 191878784 263833328 362770826 383757568 527666656 725541652 1055333312 1451083304 2110666624 2902166608 4221333248 5804333216 11608666432 23217332864 46434665728