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864154300801 = 112845092
BaseRepresentation
bin11001001001100111001…
…11000011000110000001
310001121112101202220002111
430210303213003012001
5103124242000111201
61500553105415321
7116301356234611
oct14446347030601
93047471686074
10864154300801
11303538635500
1211b58b63a541
13636492a18cc
142db7a856a41
151772a5e8b51
hexc9339c3181

864154300801 has 9 divisors (see below), whose sum is σ = 949866793603. Its totient is φ = 785585522920.

The previous prime is 864154300799. The next prime is 864154300853. The reversal of 864154300801 is 108003451468.

The square root of 864154300801 is 929599.

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., 593899881201 + 270254419600 = 770649^2 + 519860^2 .

It is not a de Polignac number, because 864154300801 - 21 = 864154300799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (864154304801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10183335 + ... + 10267843.

Almost surely, 2864154300801 is an apocalyptic number.

864154300801 is the 929599-th square number.

864154300801 is the 464800-th centered octagonal number.

It is an amenable number.

864154300801 is a deficient number, since it is larger than the sum of its proper divisors (85712492802).

864154300801 is an frugal number, since it uses more digits than its factorization.

864154300801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169040 (or 84520 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 864154300801 in words is "eight hundred sixty-four billion, one hundred fifty-four million, three hundred thousand, eight hundred one".

Divisors: 1 11 121 84509 929599 10225589 7141771081 78559481891 864154300801