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12738865007 = 114733174441
BaseRepresentation
bin10111101110100101…
…11010011101101111
31012212210102101121002
423313102322131233
5202042122140012
65504022030515
7630452365061
oct136722723557
935783371532
1012738865007
115447836910
12257627843b
131280260c5b
1488bbd1731
154e856d7c2
hex2f74ba76f

12738865007 has 16 divisors (see below), whose sum is σ = 14235692544. Its totient is φ = 11299992000.

The previous prime is 12738864977. The next prime is 12738865019. The reversal of 12738865007 is 70056883721.

It is a happy number.

It is not a de Polignac number, because 12738865007 - 220 = 12737816431 is a prime.

It is a super-2 number, since 2×127388650072 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12738865037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133907 + ... + 208347.

It is an arithmetic number, because the mean of its divisors is an integer number (889730784).

Almost surely, 212738865007 is an apocalyptic number.

12738865007 is a deficient number, since it is larger than the sum of its proper divisors (1496827537).

12738865007 is a wasteful number, since it uses less digits than its factorization.

12738865007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74830.

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 12738865007 in words is "twelve billion, seven hundred thirty-eight million, eight hundred sixty-five thousand, seven".

Divisors: 1 11 47 331 517 3641 15557 74441 171127 818851 3498727 24639971 38485997 271039681 1158078637 12738865007