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4991563801 = 72100932
BaseRepresentation
bin1001010011000010…
…10011100000011001
3110212212111201021101
410221201103200121
540210320020201
62143150311401
7234460410100
oct45141234031
913785451241
104991563801
112131675844
12b737b8561
13617196a63
14354d07037
151e333bd01
hex129853819

4991563801 has 9 divisors (see below), whose sum is σ = 5807088351. Its totient is φ = 4278059352.

The previous prime is 4991563793. The next prime is 4991563807. The reversal of 4991563801 is 1083651994.

The square root of 4991563801 is 70651.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2543689225 + 2447874576 = 50435^2 + 49476^2 .

It is not a de Polignac number, because 4991563801 - 23 = 4991563793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4991563807) 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 8 ways as a sum of consecutive naturals, for example, 489511 + ... + 499603.

It is an arithmetic number, because the mean of its divisors is an integer number (645232039).

Almost surely, 24991563801 is an apocalyptic number.

4991563801 is the 70651-st square number.

4991563801 is the 35326-th centered octagonal number.

It is an amenable number.

4991563801 is a deficient number, since it is larger than the sum of its proper divisors (815524550).

4991563801 is an frugal number, since it uses more digits than its factorization.

4991563801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The cubic root of 4991563801 is about 1709.0136921308.

The spelling of 4991563801 in words is "four billion, nine hundred ninety-one million, five hundred sixty-three thousand, eight hundred one".

Divisors: 1 7 49 10093 70651 494557 101868649 713080543 4991563801