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2133377199 = 32298173859
BaseRepresentation
bin111111100101000…
…1100000010101111
312111200022210100100
41333022030002233
513332121032244
6551405402143
7103603256412
oct17712140257
95450283310
102133377199
119a5265958
124b6569353
1327cca6095
14163497b79
15c745bb69
hex7f28c0af

2133377199 has 12 divisors (see below), whose sum is σ = 3187805400. Its totient is φ = 1373208144.

The previous prime is 2133377179. The next prime is 2133377201. The reversal of 2133377199 is 9917733312.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2133377199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133377119) 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 11 ways as a sum of consecutive naturals, for example, 4086669 + ... + 4087190.

It is an arithmetic number, because the mean of its divisors is an integer number (265650450).

Almost surely, 22133377199 is an apocalyptic number.

2133377199 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2133377199 is a deficient number, since it is larger than the sum of its proper divisors (1054428201).

2133377199 is a wasteful number, since it uses less digits than its factorization.

2133377199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173894 (or 8173891 counting only the distinct ones).

The product of its digits is 214326, while the sum is 45.

The square root of 2133377199 is about 46188.4963925002. The cubic root of 2133377199 is about 1287.3280027128.

The spelling of 2133377199 in words is "two billion, one hundred thirty-three million, three hundred seventy-seven thousand, one hundred ninety-nine".

Divisors: 1 3 9 29 87 261 8173859 24521577 73564731 237041911 711125733 2133377199