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211703052544 = 2814921932
BaseRepresentation
bin1100010100101001111…
…1000011100100000000
3202020102221122100111221
43011022133003210000
511432031440140134
6241131031044424
721203125153504
oct3051237034400
9666387570457
10211703052544
1181867943855
1235042b10714
1316c6aab4439
14a3644c2304
155790ada5b4
hex314a7c3900

211703052544 has 81 divisors (see below), whose sum is σ = 427650019923. Its totient is φ = 104596340736.

The previous prime is 211703052541. The next prime is 211703052601. The reversal of 211703052544 is 445250307112.

The square root of 211703052544 is 460112.

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

It can be written as a sum of positive squares in 4 ways, for example, as 89281440000 + 122421612544 = 298800^2 + 349888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211703052541) 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, 1096906912 + ... + 1096907104.

Almost surely, 2211703052544 is an apocalyptic number.

211703052544 is the 460112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211703052544

211703052544 is an abundant number, since it is smaller than the sum of its proper divisors (215946967379).

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

211703052544 is an frugal number, since it uses more digits than its factorization.

211703052544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

Adding to 211703052544 its reverse (445250307112), we get a palindrome (656953359656).

The spelling of 211703052544 in words is "two hundred eleven billion, seven hundred three million, fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 149 193 256 298 386 596 772 1192 1544 2384 3088 4768 6176 9536 12352 19072 22201 24704 28757 37249 38144 44402 49408 57514 74498 88804 115028 148996 177608 230056 297992 355216 460112 595984 710432 920224 1191968 1420864 1840448 2383936 2841728 3680896 4284793 4767872 5550101 5683456 7361792 8569586 9535744 11100202 17139172 22200404 34278344 44400808 68556688 88801616 137113376 177603232 274226752 355206464 548453504 710412928 826965049 1096907008 1420825856 1653930098 3307860196 6615720392 13231440784 26462881568 52925763136 105851526272 211703052544