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10004400029 = 131674608199
BaseRepresentation
bin10010101000100111…
…10000011110011101
3221211020001011211102
421110103300132131
5130442111300104
64332421002445
7502626666011
oct112423603635
927736034742
1010004400029
11427424a8a8
121b32553425
13c3589b140
146ac98a541
153d847ba1e
hex2544f079d

10004400029 has 8 divisors (see below), whose sum is σ = 10838486400. Its totient is φ = 9179530416.

The previous prime is 10004400017. The next prime is 10004400031. The reversal of 10004400029 is 92000440001.

10004400029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10004400029 - 28 = 10004399773 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004400059) 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 7 ways as a sum of consecutive naturals, for example, 2301929 + ... + 2306270.

It is an arithmetic number, because the mean of its divisors is an integer number (1354810800).

Almost surely, 210004400029 is an apocalyptic number.

It is an amenable number.

10004400029 is a deficient number, since it is larger than the sum of its proper divisors (834086371).

10004400029 is a wasteful number, since it uses less digits than its factorization.

10004400029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608379.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 10004400029 in words is "ten billion, four million, four hundred thousand, twenty-nine".

Divisors: 1 13 167 2171 4608199 59906587 769569233 10004400029