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211937774689 = 61275472
BaseRepresentation
bin1100010101100001111…
…0011100110001100001
3202021001022022110202201
43011120132130301201
511433022032242224
6241210214013201
721212005234564
oct3053036346141
9667038273681
10211937774689
1181978391aa3
12350a9647201
1316ca7607b94
14a3877424db
1557a6502a44
hex315879cc61

211937774689 has 9 divisors (see below), whose sum is σ = 215497675731. Its totient is φ = 208435762920.

The previous prime is 211937774681. The next prime is 211937774693. The reversal of 211937774689 is 986477739112.

It is a happy number.

The square root of 211937774689 is 460367.

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., 6891822289 + 205045952400 = 83017^2 + 452820^2 .

It is not a de Polignac number, because 211937774689 - 23 = 211937774681 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 211937774689.

It is not an unprimeable number, because it can be changed into a prime (211937774681) 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, 28078614 + ... + 28086160.

Almost surely, 2211937774689 is an apocalyptic number.

211937774689 is the 460367-th square number.

211937774689 is the 230184-th centered octagonal number.

It is an amenable number.

211937774689 is a deficient number, since it is larger than the sum of its proper divisors (3559901042).

211937774689 is an frugal number, since it uses more digits than its factorization.

211937774689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15216 (or 7608 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 64.

Multiplying 211937774689 by its sum of digits (64), we get a square (13564017580096 = 36829362).

The spelling of 211937774689 in words is "two hundred eleven billion, nine hundred thirty-seven million, seven hundred seventy-four thousand, six hundred eighty-nine".

Divisors: 1 61 3721 7547 460367 28082387 56957209 3474389749 211937774689