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10611136860676 = 2211219277932
BaseRepresentation
bin1001101001101001100100…
…0010110001001000000100
31101120102012101001110002221
42122122121002301020010
52342323102014020201
634322404452542124
72143425602062012
oct232323102611004
941512171043087
1010611136860676
113421181142900
121234614321944
135bc81a18b801
1428982050b8b2
151360478864a1
hex9a6990b1204

10611136860676 has 81 divisors (see below), whose sum is σ = 21544664797173. Its totient is φ = 4568802733440.

The previous prime is 10611136860631. The next prime is 10611136860683. The reversal of 10611136860676 is 67606863111601.

The square root of 10611136860676 is 3257474.

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., 10345936580100 + 265200280576 = 3216510^2 + 514976^2 .

It is a super-2 number, since 2×106111368606762 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1361620236 + ... + 1361628028.

Almost surely, 210611136860676 is an apocalyptic number.

10611136860676 is the 3257474-th square number.

It is an amenable number.

10611136860676 is an abundant number, since it is smaller than the sum of its proper divisors (10933527936497).

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

10611136860676 is an frugal number, since it uses more digits than its factorization.

10611136860676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15650 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 10611136860676 in words is "ten trillion, six hundred eleven billion, one hundred thirty-six million, eight hundred sixty thousand, six hundred seventy-six".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 361 418 484 722 836 1444 2299 3971 4598 7793 7942 9196 15586 15884 31172 43681 85723 87362 148067 171446 174724 296134 342892 592268 942953 1628737 1885906 2813273 3257474 3771812 5626546 6514948 11253092 17916107 30946003 35832214 60730849 61892006 71664428 121461698 123784012 242923396 340406033 668039339 680812066 1153886131 1336078678 1361624132 2307772262 2672157356 4615544524 7348432729 12692747441 14696865458 21923836489 25385494882 29393730916 43847672978 50770989764 87695345956 139620221851 241162201379 279240443702 482324402758 558480887404 964648805516 2652784215169 5305568430338 10611136860676