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993246093 = 32737426103
BaseRepresentation
bin111011001100111…
…011101110001101
32120012222010111100
4323030323232031
54013232333333
6242320413313
733420311130
oct7314735615
92505863440
10993246093
1146a730544
12238777239
1312aa13ca8
1495cb0217
155c2ea213
hex3b33bb8d

993246093 has 24 divisors (see below), whose sum is σ = 1683963008. Its totient is φ = 552228192.

The previous prime is 993246083. The next prime is 993246101. The reversal of 993246093 is 390642399.

993246093 is a `hidden beast` number, since 9 + 9 + 32 + 4 + 609 + 3 = 666.

It is not a de Polignac number, because 993246093 - 24 = 993246077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993246043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210721 + ... + 215382.

Almost surely, 2993246093 is an apocalyptic number.

It is an amenable number.

993246093 is a deficient number, since it is larger than the sum of its proper divisors (690716915).

993246093 is a wasteful number, since it uses less digits than its factorization.

993246093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426153 (or 426150 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 993246093 is about 31515.8070339314. The cubic root of 993246093 is about 997.7436102011.

The spelling of 993246093 in words is "nine hundred ninety-three million, two hundred forty-six thousand, ninety-three".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 426103 1278309 2982721 3834927 8948163 15765811 26844489 47297433 110360677 141892299 331082031 993246093