Search a number
-
+
10668199620841 = 724666032
BaseRepresentation
bin1001101100111110001000…
…1111111011000011101001
31101202212111011201000021121
42123033202033323003221
52344241433100331331
634404523033535241
72150515634405200
oct233174217730351
941685434630247
1010668199620841
1134433a3626124
12124369a574521
135c5012239859
1428c4b4c54237
151377872e0c11
hex9b3e23fb0e9

10668199620841 has 9 divisors (see below), whose sum is σ = 12409973094141. Its totient is φ = 9144151506252.

The previous prime is 10668199620821. The next prime is 10668199620851. The reversal of 10668199620841 is 14802699186601.

The square root of 10668199620841 is 3266221.

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

It is not a de Polignac number, because 10668199620841 - 237 = 10530760667369 is a prime.

It is a super-2 number, since 2×106681996208412 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10668199620841.

It is not an unprimeable number, because it can be changed into a prime (10668199620821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22630246 + ... + 23096848.

It is an arithmetic number, because the mean of its divisors is an integer number (1378885899349).

Almost surely, 210668199620841 is an apocalyptic number.

10668199620841 is the 3266221-st square number.

10668199620841 is the 1633111-st centered octagonal number.

It is an amenable number.

10668199620841 is a deficient number, since it is larger than the sum of its proper divisors (1741773473300).

10668199620841 is an frugal number, since it uses more digits than its factorization.

10668199620841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933220 (or 466610 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 61.

The spelling of 10668199620841 in words is "ten trillion, six hundred sixty-eight billion, one hundred ninety-nine million, six hundred twenty thousand, eight hundred forty-one".

Divisors: 1 7 49 466603 3266221 22863547 217718359609 1524028517263 10668199620841