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376651010961 = 34192372972
BaseRepresentation
bin1010111101100100010…
…01100101001110010001
31100000012110022211110000
411132302021211032101
522132340124322321
6445010414200213
736132522524451
oct5366211451621
91300173284400
10376651010961
11135811749345
1260bb77b3069
132969718b1b4
14143311cbd61
159be6b4e826
hex57b2265391

376651010961 has 135 divisors (see below), whose sum is σ = 616663065249. Its totient is φ = 229069389312.

The previous prime is 376651010933. The next prime is 376651010963. The reversal of 376651010961 is 169010156673.

The square root of 376651010961 is 613719.

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

376651010961 is a `hidden beast` number, since 3 + 7 + 66 + 510 + 10 + 9 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58216520961 + 318434490000 = 241281^2 + 564300^2 .

It is not a de Polignac number, because 376651010961 - 27 = 376651010833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (376651010963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3883000065 + ... + 3883000161.

Almost surely, 2376651010961 is an apocalyptic number.

376651010961 is the 613719-th square number.

376651010961 is the 306860-th centered octagonal number.

It is an amenable number.

376651010961 is a deficient number, since it is larger than the sum of its proper divisors (240012054288).

376651010961 is an frugal number, since it uses more digits than its factorization.

376651010961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 376651010961 in words is "three hundred seventy-six billion, six hundred fifty-one million, ten thousand, nine hundred sixty-one".

Divisors: 1 3 9 19 27 37 57 81 97 111 171 291 333 361 513 703 873 999 1083 1369 1539 1843 2109 2619 2997 3249 3589 4107 5529 6327 7857 9409 9747 10767 12321 13357 16587 18981 26011 28227 29241 32301 35017 36963 40071 49761 56943 68191 78033 84681 96903 105051 110889 120213 132793 149283 178771 204573 234099 254043 290709 315153 348133 360639 398379 494209 536313 613719 702297 762129 945459 1044399 1081917 1195137 1295629 1482627 1608939 1841157 2106891 2523067 2836377 3133197 3396649 3585411 3886887 4447881 4826817 5523471 6614527 7569201 9399591 10189947 10756233 11660661 12880921 13343643 14480451 19843581 22707603 28198773 30569841 34981983 38642763 40030929 47938273 59530743 68122809 91709523 104945949 115928289 125676013 143814819 178592229 204368427 244737499 275128569 347784867 377028039 431444457 535776687 734212497 1043354601 1131084117 1294333371 2202637491 3393252351 3883000113 4650012481 6607912473 10179757053 13950037443 19823737419 41850112329 125550336987 376651010961