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9993000132 = 223430842593
BaseRepresentation
bin10010100111010000…
…10001010011000100
3221210102121000010000
421103220101103010
5130431202001012
64331332401300
7502431046113
oct112350212304
927712530100
109993000132
1142688739a5
121b2a776230
13c3340933b
146ab25dc7a
153d7478ddc
hex253a114c4

9993000132 has 30 divisors (see below), whose sum is σ = 26123677118. Its totient is φ = 3330999936.

The previous prime is 9993000131. The next prime is 9993000161. The reversal of 9993000132 is 2310003999.

It can be written as a sum of positive squares in only one way, i.e., 8045013636 + 1947986496 = 89694^2 + 44136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9993000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15420973 + ... + 15421620.

Almost surely, 29993000132 is an apocalyptic number.

It is an amenable number.

9993000132 is an abundant number, since it is smaller than the sum of its proper divisors (16130676986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9993000132 is a wasteful number, since it uses less digits than its factorization.

9993000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30842609 (or 30842598 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 9993000132 is about 99964.9945330864. The cubic root of 9993000132 is about 2153.9318807455.

The spelling of 9993000132 in words is "nine billion, nine hundred ninety-three million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 30842593 61685186 92527779 123370372 185055558 277583337 370111116 555166674 832750011 1110333348 1665500022 2498250033 3331000044 4996500066 9993000132