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197067942771921 = 3213259326072
BaseRepresentation
bin101100110011101101110100…
…101110011011110011010001
3221211202111210202200012121100
4230303231310232123303101
5201312230121322200141
61535043432455215013
756336455222144524
oct5463556456336321
9854674722605540
10197067942771921
1157879055164851
121a129107377469
1385c6572912c00
1436941d442cbbb
1517bb2c95420b6
hexb33b74b9bcd1

197067942771921 has 81 divisors (see below), whose sum is σ = 309264635000529. Its totient is φ = 120868620118272.

The previous prime is 197067942771827. The next prime is 197067942771979. The reversal of 197067942771921 is 129177249760791.

The square root of 197067942771921 is 14038089.

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

197067942771921 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 6 + 7 + 9 + 427 + 7 + 192 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14498663059521 + 182569279712400 = 3807711^2 + 13511820^2 .

It is not a de Polignac number, because 197067942771921 - 29 = 197067942771409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 197067942771921.

It is not an unprimeable number, because it can be changed into a prime (197067947771921) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 324658884000 + ... + 324658884606.

Almost surely, 2197067942771921 is an apocalyptic number.

197067942771921 is the 14038089-th square number.

197067942771921 is the 7019045-th centered octagonal number.

It is an amenable number.

197067942771921 is a deficient number, since it is larger than the sum of its proper divisors (112196692228608).

197067942771921 is an frugal number, since it uses more digits than its factorization.

197067942771921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 168031584, while the sum is 72.

The spelling of 197067942771921 in words is "one hundred ninety-seven trillion, sixty-seven billion, nine hundred forty-two million, seven hundred seventy-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 39 117 169 507 593 607 1521 1779 1821 5337 5463 7709 7891 23127 23673 69381 71019 100217 102583 300651 307749 351649 359951 368449 901953 923247 1054947 1079853 1105347 3164841 3239559 3316041 4571437 4679363 4789837 13714311 14038089 14369511 41142933 42114267 43108533 59428681 60831719 62267881 178286043 182495157 186803643 213450943 218490257 534858129 547485471 560410929 640352829 655470771 1921058487 1966412313 2774862259 2840373341 8324586777 8521120023 24973760331 25563360069 36073209367 36924853433 108219628101 110774560299 129564722401 324658884303 332323680897 388694167203 1166082501609 1684341391213 5053024173639 15159072520917 21896438085769 65689314257307 197067942771921