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210871987264 = 266129412
BaseRepresentation
bin1100010001100011110…
…0110010110001000000
3202011022000211212021101
43010120330302301000
511423331212043024
6240512342304144
721143414213611
oct3043074626100
9664260755241
10210871987264
1181480815144
1234a50728054
1316b67875733
14a2c5d8bc08
155742b78c44
hex3118f32c40

210871987264 has 63 divisors (see below), whose sum is σ = 425873952543. Its totient is φ = 103597324800.

The previous prime is 210871987181. The next prime is 210871987267. The reversal of 210871987264 is 462789178012.

The square root of 210871987264 is 459208.

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

210871987264 is digitally balanced in base 3, 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 45450828864 + 165421158400 = 213192^2 + 406720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210871987267) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 224093034 + ... + 224093974.

Almost surely, 2210871987264 is an apocalyptic number.

210871987264 is the 459208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210871987264

210871987264 is an abundant number, since it is smaller than the sum of its proper divisors (215001965279).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210871987264 is an frugal number, since it uses more digits than its factorization.

210871987264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 210871987264 in words is "two hundred ten billion, eight hundred seventy-one million, nine hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 941 976 1882 1952 3721 3764 3904 7442 7528 14884 15056 29768 30112 57401 59536 60224 114802 119072 229604 238144 459208 885481 918416 1770962 1836832 3501461 3541924 3673664 7002922 7083848 14005844 14167696 28011688 28335392 54014341 56023376 56670784 108028682 112046752 216057364 224093504 432114728 864229456 1728458912 3294874801 3456917824 6589749602 13179499204 26358998408 52717996816 105435993632 210871987264