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99969957 = 3101693
BaseRepresentation
bin1011111010101…
…10101110100101
320222010000000000
411331112232211
5201043014312
613530411513
72322505413
oct575265645
9228100000
1099969957
11514809aa
1229590b99
1317932c29
14d3c42b3
158b9aadc
hex5f56ba5

99969957 has 22 divisors (see below), whose sum is σ = 150042662. Its totient is φ = 66607272.

The previous prime is 99969949. The next prime is 99970007. The reversal of 99969957 is 75996999.

It can be written as a sum of positive squares in only one way, i.e., 80838081 + 19131876 = 8991^2 + 4374^2 .

It is not a de Polignac number, because 99969957 - 23 = 99969949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99969894 and 99969903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99969257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 58203 + ... + 59895.

It is an arithmetic number, because the mean of its divisors is an integer number (6820121).

Almost surely, 299969957 is an apocalyptic number.

It is an amenable number.

99969957 is a deficient number, since it is larger than the sum of its proper divisors (50072705).

99969957 is an frugal number, since it uses more digits than its factorization.

99969957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1696 counting only the distinct ones).

The product of its digits is 12400290, while the sum is 63.

The square root of 99969957 is about 9998.4977371603. The cubic root of 99969957 is about 464.1123962878.

The spelling of 99969957 in words is "ninety-nine million, nine hundred sixty-nine thousand, nine hundred fifty-seven".

Divisors: 1 3 9 27 81 243 729 1693 2187 5079 6561 15237 19683 45711 59049 137133 411399 1234197 3702591 11107773 33323319 99969957