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3985648517 = 313353379
BaseRepresentation
bin1110110110010000…
…0010101110000101
3101021202200220220202
43231210002232011
531130311223032
61455254140245
7200524311344
oct35544025605
911252626822
103985648517
1117658817a4
12932951685
134b6968306
1429b499b5b
15184d8cd62
hexed902b85

3985648517 has 16 divisors (see below), whose sum is σ = 4141063680. Its totient is φ = 3836004480.

The previous prime is 3985648489. The next prime is 3985648529. The reversal of 3985648517 is 7158465893.

It is not a de Polignac number, because 3985648517 - 224 = 3968871301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985648717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10516034 + ... + 10516412.

It is an arithmetic number, because the mean of its divisors is an integer number (258816480).

Almost surely, 23985648517 is an apocalyptic number.

It is an amenable number.

3985648517 is a deficient number, since it is larger than the sum of its proper divisors (155415163).

3985648517 is an frugal number, since it uses more digits than its factorization.

3985648517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 763 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 56.

The square root of 3985648517 is about 63131.9928166377. The cubic root of 3985648517 is about 1585.5003136838.

The spelling of 3985648517 in words is "three billion, nine hundred eighty-five million, six hundred forty-eight thousand, five hundred seventeen".

Divisors: 1 31 353 379 961 10943 11749 29791 133787 339233 364219 4147397 10516223 11290789 128569307 3985648517