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642148801 = 7375094871
BaseRepresentation
bin100110010001100…
…110100111000001
31122202022112112221
4212101212213001
52303342230201
6143415251041
721625113640
oct4621464701
91582275487
10642148801
112aa526998
1215b079a81
13a3065508
14613d9357
153b5964a1
hex264669c1

642148801 has 16 divisors (see below), whose sum is σ = 755354880. Its totient is φ = 534375360.

The previous prime is 642148781. The next prime is 642148823. The reversal of 642148801 is 108841246.

It is a cyclic number.

It is not a de Polignac number, because 642148801 - 211 = 642146753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (642148841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129396 + ... + 134266.

It is an arithmetic number, because the mean of its divisors is an integer number (47209680).

Almost surely, 2642148801 is an apocalyptic number.

It is an amenable number.

642148801 is a deficient number, since it is larger than the sum of its proper divisors (113206079).

642148801 is a wasteful number, since it uses less digits than its factorization.

642148801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424.

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 642148801 is about 25340.6551020292. The cubic root of 642148801 is about 862.7372676646.

The spelling of 642148801 in words is "six hundred forty-two million, one hundred forty-eight thousand, eight hundred one".

Divisors: 1 7 37 259 509 3563 4871 18833 34097 131831 180227 1261589 2479339 17355373 91735543 642148801