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922020527961 = 341322922832
BaseRepresentation
bin11010110101011001011…
…01001011111101011001
310021010220012021210210000
431122230231023331121
5110101244223343321
61543323111443213
7123420346114341
oct15325455137531
93233805253700
10922020527961
11326032607435
1212a83a986509
1368c3b947900
14328a9b8bd21
1518eb5862826
hexd6acb4bf59

922020527961 has 135 divisors (see below), whose sum is σ = 1550118124269. Its totient is φ = 545896024128.

The previous prime is 922020527947. The next prime is 922020527963. The reversal of 922020527961 is 169725020229.

The square root of 922020527961 is 960219.

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 118229384025 + 803791143936 = 343845^2 + 896544^2 .

It is not a de Polignac number, because 922020527961 - 211 = 922020525913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (922020527963) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3258022926 + ... + 3258023208.

Almost surely, 2922020527961 is an apocalyptic number.

922020527961 is the 960219-th square number.

922020527961 is the 480110-th centered octagonal number.

It is an amenable number.

922020527961 is a deficient number, since it is larger than the sum of its proper divisors (628097596308).

922020527961 is an equidigital number, since it uses as much as digits as its factorization.

922020527961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 922020527961 in words is "nine hundred twenty-two billion, twenty million, five hundred twenty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 9 13 27 29 39 81 87 117 169 261 283 351 377 507 783 841 849 1053 1131 1521 2349 2523 2547 3393 3679 4563 4901 7569 7641 8207 10179 10933 11037 13689 14703 22707 22923 24621 30537 32799 33111 44109 47827 68121 73863 80089 98397 99333 106691 132327 142129 143481 221589 238003 240267 295191 297999 320073 396981 426387 430443 664767 714009 720801 885573 960219 1041157 1279161 1291329 1386983 2142027 2162403 2322581 2880657 3094039 3123471 3837483 3873987 4160949 6426081 6487209 6967743 8641971 9282117 9370413 11512449 12482847 13535041 19278243 20903229 27846351 28111239 30193553 37448541 40222507 40605123 62709687 67354849 83539053 84333717 90580659 112345623 120667521 121815369 188129061 202064547 250617159 271741977 362002563 365446107 392516189 606193641 815225931 875613037 1086007689 1096338321 1177548567 1818580923 2445677793 2626839111 3258023067 3532645701 5455742769 7880517333 10597937103 11382969481 23641551999 31793811309 34148908443 70924655997 102446725329 307340175987 922020527961