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2558042129 = 23731523551
BaseRepresentation
bin1001100001111000…
…1010000000010001
320121021102000010002
42120132022000101
520214324322004
61101455415345
7120250666526
oct23036120021
96537360102
102558042129
1110a2a47a05
125b4824555
13319c721c6
141a3a3d14d
15ee89361e
hex9878a011

2558042129 has 8 divisors (see below), whose sum is σ = 2705828352. Its totient is φ = 2413303200.

The previous prime is 2558042119. The next prime is 2558042141. The reversal of 2558042129 is 9212408552.

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-2558042129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2558042092 and 2558042101.

It is not an unprimeable number, because it can be changed into a prime (2558042119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760097 + ... + 763454.

It is an arithmetic number, because the mean of its divisors is an integer number (338228544).

Almost surely, 22558042129 is an apocalyptic number.

It is an amenable number.

2558042129 is a deficient number, since it is larger than the sum of its proper divisors (147786223).

2558042129 is a wasteful number, since it uses less digits than its factorization.

2558042129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523647.

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 2558042129 is about 50577.0909503502. The cubic root of 2558042129 is about 1367.6319275323.

The spelling of 2558042129 in words is "two billion, five hundred fifty-eight million, forty-two thousand, one hundred twenty-nine".

Divisors: 1 23 73 1679 1523551 35041673 111219223 2558042129