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4349429035104 = 25399257456457
BaseRepresentation
bin111111010010101110001…
…011000011000001100000
3120101210122012001212201010
4333102232023003001200
51032230112313110404
613130033342540520
7626143622541516
oct77225613030140
916353565055633
104349429035104
1114276453345aa
125a2b46b97740
132571c32c61ba
141107290264b6
1578212d29189
hex3f4ae2c3060

4349429035104 has 48 divisors (see below), whose sum is σ = 11417391257328. Its totient is φ = 1449791895552.

The previous prime is 4349429035079. The next prime is 4349429035117. The reversal of 4349429035104 is 4015309249434.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9300444 + ... + 9756900.

It is an arithmetic number, because the mean of its divisors is an integer number (237862317861).

Almost surely, 24349429035104 is an apocalyptic number.

It is an amenable number.

4349429035104 is an abundant number, since it is smaller than the sum of its proper divisors (7067962222224).

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

4349429035104 is a wasteful number, since it uses less digits than its factorization.

4349429035104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555727 (or 555719 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 4349429035104 in words is "four trillion, three hundred forty-nine billion, four hundred twenty-nine million, thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 99257 198514 297771 397028 456457 595542 794056 912914 1191084 1369371 1588112 1825828 2382168 2738742 3176224 3651656 4764336 5477484 7303312 9528672 10954968 14606624 21909936 43819872 45306552449 90613104898 135919657347 181226209796 271839314694 362452419592 543678629388 724904839184 1087357258776 1449809678368 2174714517552 4349429035104