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211757354272 = 2514009472369
BaseRepresentation
bin1100010100110110111…
…0001100110100100000
3202020120201211011111001
43011031232030310200
511432134340314042
6241140251001344
721204354545542
oct3051556146440
9666521734431
10211757354272
1181895562512
1235059139254
1316c79117839
14a36b7b9692
155795764bb7
hex314db8cd20

211757354272 has 24 divisors (see below), whose sum is σ = 416927933100. Its totient is φ = 105870895104.

The previous prime is 211757354239. The next prime is 211757354273. The reversal of 211757354272 is 272453757112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 159939205776 + 51818148496 = 399924^2 + 227636^2 .

It is a super-3 number, since 3×2117573542723 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (211757354273) 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 3 ways as a sum of consecutive naturals, for example, 212104 + ... + 684472.

Almost surely, 2211757354272 is an apocalyptic number.

It is an amenable number.

211757354272 is a deficient number, since it is larger than the sum of its proper divisors (205170578828).

211757354272 is a wasteful number, since it uses less digits than its factorization.

211757354272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486388 (or 486380 counting only the distinct ones).

The product of its digits is 823200, while the sum is 46.

The spelling of 211757354272 in words is "two hundred eleven billion, seven hundred fifty-seven million, three hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 14009 28018 56036 112072 224144 448288 472369 944738 1889476 3778952 7557904 15115808 6617417321 13234834642 26469669284 52939338568 105878677136 211757354272