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633152141 = 738997453
BaseRepresentation
bin100101101111010…
…010001010001101
31122010101110110022
4211233102022031
52244041332031
6142454351525
721455463416
oct4557221215
91563343408
10633152141
112a5441636
1215805b5a5
13a123554b
146013680d
153a8ba97b
hex25bd228d

633152141 has 8 divisors (see below), whose sum is σ = 649043640. Its totient is φ = 617455872.

The previous prime is 633152101. The next prime is 633152159. The reversal of 633152141 is 141251336.

633152141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74822500 + 558329641 = 8650^2 + 23629^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 633152141 - 214 = 633135757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 633152141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633152101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42230 + ... + 55223.

It is an arithmetic number, because the mean of its divisors is an integer number (81130455).

Almost surely, 2633152141 is an apocalyptic number.

It is an amenable number.

633152141 is a deficient number, since it is larger than the sum of its proper divisors (15891499).

633152141 is an equidigital number, since it uses as much as digits as its factorization.

633152141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97615.

The product of its digits is 2160, while the sum is 26.

The square root of 633152141 is about 25162.5146000951. The cubic root of 633152141 is about 858.6892512399.

It can be divided in two parts, 63315 and 2141, that added together give a palindrome (65456).

The spelling of 633152141 in words is "six hundred thirty-three million, one hundred fifty-two thousand, one hundred forty-one".

Divisors: 1 73 89 6497 97453 7114069 8673317 633152141