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2990132193 = 31773979337
BaseRepresentation
bin1011001000111001…
…1100101111100001
321201101110110020210
42302032130233201
522110433212233
61212412524333
7134045463366
oct26216345741
97641413223
102990132193
1112a4940634
126b54806a9
1338863abb9
1420519846d
15127795163
hexb239cbe1

2990132193 has 16 divisors (see below), whose sum is σ = 4227128640. Its totient is φ = 1873598976.

The previous prime is 2990132183. The next prime is 2990132267. The reversal of 2990132193 is 3912310992.

It is not a de Polignac number, because 2990132193 - 26 = 2990132129 is a prime.

It is a super-3 number, since 3×29901321933 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2990132153) 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 15 ways as a sum of consecutive naturals, for example, 1980 + ... + 77357.

It is an arithmetic number, because the mean of its divisors is an integer number (264195540).

Almost surely, 22990132193 is an apocalyptic number.

It is an amenable number.

2990132193 is a deficient number, since it is larger than the sum of its proper divisors (1236996447).

2990132193 is a wasteful number, since it uses less digits than its factorization.

2990132193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80096.

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 2990132193 is about 54682.1012123711. The cubic root of 2990132193 is about 1440.6665177407. Note that the first 3 decimals are identical.

The spelling of 2990132193 in words is "two billion, nine hundred ninety million, one hundred thirty-two thousand, one hundred ninety-three".

Divisors: 1 3 17 51 739 2217 12563 37689 79337 238011 1348729 4046187 58630043 175890129 996710731 2990132193