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429576113749 = 41101103737289
BaseRepresentation
bin1100100000001001011…
…10110100111001010101
31112001210220020121202011
412100010232310321111
524014232441114444
6525202230544221
743015203501616
oct6200456647125
91461726217664
10429576113749
11156200576412
126b308208071
133167cc4a873
1416b121c9c0d
15b2931e1734
hex6404bb4e55

429576113749 has 8 divisors (see below), whose sum is σ = 444410550360. Its totient is φ = 414949152000.

The previous prime is 429576113693. The next prime is 429576113773. The reversal of 429576113749 is 947311675924.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105579504900 + 323996608849 = 324930^2 + 569207^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-429576113749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 429576113693 and 429576113702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429576113149) 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, 51864504 + ... + 51872785.

It is an arithmetic number, because the mean of its divisors is an integer number (55551318795).

Almost surely, 2429576113749 is an apocalyptic number.

It is an amenable number.

429576113749 is a deficient number, since it is larger than the sum of its proper divisors (14834436611).

429576113749 is a wasteful number, since it uses less digits than its factorization.

429576113749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103737431.

The product of its digits is 11430720, while the sum is 58.

The spelling of 429576113749 in words is "four hundred twenty-nine billion, five hundred seventy-six million, one hundred thirteen thousand, seven hundred forty-nine".

Divisors: 1 41 101 4141 103737289 4253228849 10477466189 429576113749