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912084210961 = 721127921572
BaseRepresentation
bin11010100010111000111…
…01001001010100010001
310020012020201100121022021
431101130131021110101
5104420422024222321
61535001122011441
7122616203606200
oct15213435112421
93205221317267
10912084210961
113218a3839400
121289271a6b81
13680171c68b1
1432206285237
1518ad3383941
hexd45c749511

912084210961 has 81 divisors (see below), whose sum is σ = 1188739061307. Its totient is φ = 697249032480.

The previous prime is 912084210941. The next prime is 912084210967. The reversal of 912084210961 is 169012480219.

The square root of 912084210961 is 955031.

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

It can be written as a sum of positive squares in only one way, i.e., 267345873025 + 644738337936 = 517055^2 + 802956^2 .

It is not a de Polignac number, because 912084210961 - 29 = 912084210449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (912084210967) 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, 5809453495 + ... + 5809453651.

Almost surely, 2912084210961 is an apocalyptic number.

912084210961 is the 955031-st square number.

912084210961 is the 477516-th centered octagonal number.

It is an amenable number.

912084210961 is a deficient number, since it is larger than the sum of its proper divisors (276654850346).

912084210961 is an equidigital number, since it uses as much as digits as its factorization.

912084210961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 912084210961 in words is "nine hundred twelve billion, eighty-four million, two hundred ten thousand, nine hundred sixty-one".

Divisors: 1 7 11 49 77 79 121 157 539 553 847 869 1099 1727 3871 5929 6083 6241 7693 9559 12089 12403 18997 24649 42581 43687 66913 68651 84623 86821 132979 136433 172543 271139 305809 468391 480557 607747 755161 930853 955031 979837 1207801 1500763 1897973 1947271 2982529 3363899 5286127 6685217 6858859 10505341 10778207 13285811 13630897 20877703 21419981 37002889 48012013 73537387 75447449 95416279 118560277 146143921 149939867 153834409 235619791 528132143 829921939 1049579069 1076840863 1649338537 1692178499 5809453573 7537886041 11545369759 11845249493 18613963489 82916746451 130297744423 912084210961