Search a number
-
+
683017949601 = 32132211912
BaseRepresentation
bin10011111000001110000…
…10101101000110100001
32102021222200202212001100
421330013002231012201
542142310043341401
61241435113025013
7100226551531341
oct11740702550641
92367880685040
10683017949601
1124373690a8a9
12b04593b5169
134c5400bc900
14250b5b78d21
1512b78278b86
hex9f070ad1a1

683017949601 has 27 divisors (see below), whose sum is σ = 1068360542067. Its totient is φ = 420298903440.

The previous prime is 683017949569. The next prime is 683017949629. The reversal of 683017949601 is 106949710386.

The square root of 683017949601 is 826449.

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

683017949601 is a `hidden beast` number, since 6 + 83 + 0 + 1 + 79 + 496 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101038158225 + 581979791376 = 317865^2 + 762876^2 .

It is not a de Polignac number, because 683017949601 - 25 = 683017949569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (683017949681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32220916 + ... + 32242106.

Almost surely, 2683017949601 is an apocalyptic number.

683017949601 is the 826449-th square number.

683017949601 is the 413225-th centered octagonal number.

It is an amenable number.

683017949601 is a deficient number, since it is larger than the sum of its proper divisors (385342592466).

683017949601 is an frugal number, since it uses more digits than its factorization.

683017949601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42414 (or 21207 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 683017949601 in words is "six hundred eighty-three billion, seventeen million, nine hundred forty-nine thousand, six hundred one".

Divisors: 1 3 9 13 39 117 169 507 1521 21191 63573 190719 275483 826449 2479347 3581279 10743837 32231511 449058481 1347175443 4041526329 5837760253 17513280759 52539842277 75890883289 227672649867 683017949601