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3973535685 = 325721802057
BaseRepresentation
bin1110110011010111…
…0101011111000101
3101020220220112020100
43230311311133011
531114211120220
61454142354313
7200316332100
oct35465653705
911226815210
103973535685
111759a59199
1292a88b999
134b42b6b62
14299a25737
15183c98d90
hexecd757c5

3973535685 has 36 divisors (see below), whose sum is σ = 8011949868. Its totient is φ = 1816472448.

The previous prime is 3973535653. The next prime is 3973535689. The reversal of 3973535685 is 5865353793.

3973535685 is a `hidden beast` number, since 3 + 9 + 73 + 5 + 3 + 568 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2847396321 + 1126139364 = 53361^2 + 33558^2 .

It is not a de Polignac number, because 3973535685 - 25 = 3973535653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973535689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 898824 + ... + 903233.

It is an arithmetic number, because the mean of its divisors is an integer number (222554163).

Almost surely, 23973535685 is an apocalyptic number.

3973535685 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3973535685 is an abundant number, since it is smaller than the sum of its proper divisors (4038414183).

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

3973535685 is a wasteful number, since it uses less digits than its factorization.

3973535685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802082 (or 1802072 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The square root of 3973535685 is about 63035.9872215864. The cubic root of 3973535685 is about 1583.8925128414.

The spelling of 3973535685 in words is "three billion, nine hundred seventy-three million, five hundred thirty-five thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 1802057 5406171 9010285 12614399 16218513 27030855 37843197 63071995 81092565 88300793 113529591 189215985 264902379 441503965 567647955 794707137 1324511895 3973535685