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13764752106 = 237327732193
BaseRepresentation
bin11001101000111000…
…10111001011101010
31022112021210212010120
430310130113023222
5211142234031411
610153510224110
7665050314420
oct146434271352
938467725116
1013764752106
115923930a96
122801955036
1313b4963041
1494815b110
15558665106
hex3347172ea

13764752106 has 16 divisors (see below), whose sum is σ = 31462290624. Its totient is φ = 3932786304.

The previous prime is 13764752047. The next prime is 13764752107. The reversal of 13764752106 is 60125746731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 327732193 = 13764752106 / (1 + 3 + 7 + 6 + 4 + 7 + 5 + 2 + 1 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (13764752107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163866055 + ... + 163866138.

It is an arithmetic number, because the mean of its divisors is an integer number (1966393164).

Almost surely, 213764752106 is an apocalyptic number.

13764752106 is an abundant number, since it is smaller than the sum of its proper divisors (17697538518).

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

13764752106 is a wasteful number, since it uses less digits than its factorization.

13764752106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327732205.

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13764752106 in words is "thirteen billion, seven hundred sixty-four million, seven hundred fifty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 327732193 655464386 983196579 1966393158 2294125351 4588250702 6882376053 13764752106