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99938809161 = 3216726312
BaseRepresentation
bin101110100010011010…
…0010011010101001001
3100112221220111112012100
41131010310103111021
53114133313343121
6113524455304013
710135401601362
oct1350464232511
9315856445170
1099938809161
1139424941564
121745137b009
139568c36749
144ba0c92b69
1528edb9e026
hex1744d13549

99938809161 has 27 divisors (see below), whose sum is σ = 145456157613. Its totient is φ = 66121959960.

The previous prime is 99938809123. The next prime is 99938809169. The reversal of 99938809161 is 16190883999.

The square root of 99938809161 is 316131.

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

99938809161 is a `hidden beast` number, since 9 + 99 + 388 + 0 + 9 + 161 = 666.

It is not a de Polignac number, because 99938809161 - 227 = 99804591433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99938809169) 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 26 ways as a sum of consecutive naturals, for example, 158381316 + ... + 158381946.

Almost surely, 299938809161 is an apocalyptic number.

99938809161 is the 316131-st square number.

99938809161 is the 158066-th centered octagonal number.

It is an amenable number.

99938809161 is a deficient number, since it is larger than the sum of its proper divisors (45517348452).

99938809161 is an frugal number, since it uses more digits than its factorization.

99938809161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 99938809161 in words is "ninety-nine billion, nine hundred thirty-eight million, eight hundred nine thousand, one hundred sixty-one".

Divisors: 1 3 9 167 501 631 1503 1893 5679 27889 83667 105377 251001 316131 398161 948393 1194483 3583449 17597959 52793877 66492887 158381631 199478661 598435983 11104312129 33312936387 99938809161