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658142401 = 7238234967
BaseRepresentation
bin100111001110100…
…111010011000001
31200212102002122111
4213032213103001
52321441024101
6145150135321
722211055340
oct4716472301
91625362574
10658142401
11308560144
121644b1541
13a6475197
146359db57
153cba5251
hex273a74c1

658142401 has 16 divisors (see below), whose sum is σ = 785977344. Its totient is φ = 538830864.

The previous prime is 658142371. The next prime is 658142417. The reversal of 658142401 is 104241856.

658142401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 658142401 - 217 = 658011329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (658142801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130020 + ... + 134986.

It is an arithmetic number, because the mean of its divisors is an integer number (49123584).

Almost surely, 2658142401 is an apocalyptic number.

It is an amenable number.

658142401 is a deficient number, since it is larger than the sum of its proper divisors (127834943).

658142401 is a wasteful number, since it uses less digits than its factorization.

658142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 658142401 is about 25654.2862110798. The cubic root of 658142401 is about 869.8411657895.

The spelling of 658142401 in words is "six hundred fifty-eight million, one hundred forty-two thousand, four hundred one".

Divisors: 1 7 23 161 823 4967 5761 18929 34769 114241 132503 799687 4087841 28614887 94020343 658142401