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433311493696 = 2610727692
BaseRepresentation
bin1100100111000110110…
…00001010111001000000
31112102110020000120201121
412103203120022321000
524044410220244241
6531021025042024
743206601632304
oct6234330127100
91472406016647
10433311493696
11157848050684
126bb8b186314
1331b26aab163
1416d88339d04
15b4110e5ad1
hex64e360ae40

433311493696 has 63 divisors (see below), whose sum is σ = 869093761809. Its totient is φ = 214351822848.

The previous prime is 433311493679. The next prime is 433311493711. The reversal of 433311493696 is 696394113334.

The square root of 433311493696 is 658264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 169526533696 + 263784960000 = 411736^2 + 513600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 563473600 + ... + 563474368.

Almost surely, 2433311493696 is an apocalyptic number.

433311493696 is the 658264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433311493696

433311493696 is an abundant number, since it is smaller than the sum of its proper divisors (435782268113).

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

433311493696 is an frugal number, since it uses more digits than its factorization.

433311493696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 878 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 52.

The spelling of 433311493696 in words is "four hundred thirty-three billion, three hundred eleven million, four hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 107 214 428 769 856 1538 1712 3076 3424 6152 6848 11449 12304 22898 24608 45796 49216 82283 91592 164566 183184 329132 366368 591361 658264 732736 1182722 1316528 2365444 2633056 4730888 5266112 8804281 9461776 17608562 18923552 35217124 37847104 63275627 70434248 126551254 140868496 253102508 281736992 506205016 563473984 1012410032 2024820064 4049640128 6770492089 13540984178 27081968356 54163936712 108327873424 216655746848 433311493696