Search a number
-
+
216270112515625 = 56712
BaseRepresentation
bin110001001011001001001111…
…001110110110011000101001
31001100202012221222202101002101
4301023021033032312120221
5211321332142301000000
62043545041302133401
763361000000000000
oct6113111716663051
91040665858671071
10216270112515625
1162a01704401703
122030a71b121261
13938a25161709c
143b5975a567c37
151a00a36827e6a
hexc4b24f3b6629

216270112515625 has 91 divisors (see below), whose sum is σ = 315389877039931. Its totient is φ = 148299505725000.

The previous prime is 216270112515623. The next prime is 216270112515683. The reversal of 216270112515625 is 526515211072612.

The square root of 216270112515625 is 14706125.

The cubic root of 216270112515625 is 60025.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

216270112515625 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 3 ways, for example, as 189473380494489 + 26796732021136 = 13764933^2 + 5176556^2 .

It is not a de Polignac number, because 216270112515625 - 21 = 216270112515623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216270112515623) by changing a digit.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 30895730359372 + ... + 30895730359378.

Almost surely, 2216270112515625 is an apocalyptic number.

216270112515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

216270112515625 is the 14706125-th square number.

216270112515625 is the 7353063-rd centered octagonal number.

It is an amenable number.

216270112515625 is a deficient number, since it is larger than the sum of its proper divisors (99119764524306).

216270112515625 is an frugal number, since it uses more digits than its factorization.

216270112515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 216270112515625 in words is "two hundred sixteen trillion, two hundred seventy billion, one hundred twelve million, five hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 343 625 875 1225 1715 2401 3125 4375 6125 8575 12005 15625 16807 21875 30625 42875 60025 84035 109375 117649 153125 214375 300125 420175 588245 765625 823543 1071875 1500625 2100875 2941225 4117715 5359375 5764801 7503125 10504375 14706125 20588575 28824005 37515625 40353607 52521875 73530625 102942875 144120025 201768035 262609375 282475249 367653125 514714375 720600125 1008840175 1412376245 1838265625 1977326743 2573571875 3603000625 5044200875 7061881225 9886633715 12867859375 13841287201 18015003125 25221004375 35309406125 49433168575 69206436005 90075015625 126105021875 176547030625 247165842875 346032180025 630525109375 882735153125 1235829214375 1730160900125 4413675765625 6179146071875 8650804500625 30895730359375 43254022503125 216270112515625