Search a number
-
+
41166707922 = 2341928392
BaseRepresentation
bin100110010101101110…
…100001110011010010
310221020222102102220000
4212111232201303102
51133302134123142
630524533230430
72655102146424
oct462556416322
9127228372800
1041166707922
1116505595a6a
127b8a792416
133b609bb492
141dc7512814
15110e14814c
hex995ba1cd2

41166707922 has 90 divisors (see below), whose sum is σ = 97470560583. Its totient is φ = 12984518376.

The previous prime is 41166707909. The next prime is 41166707929. The reversal of 41166707922 is 22970766114.

41166707922 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20583353961 + 20583353961 = 143469^2 + 143469^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=143469.

It is a super-2 number, since 2×411667079222 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41166707929) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49065979 + ... + 49066817.

Almost surely, 241166707922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41166707922

41166707922 is an abundant number, since it is smaller than the sum of its proper divisors (56303852661).

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

41166707922 is an frugal number, since it uses more digits than its factorization.

41166707922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 41166707922 in words is "forty-one billion, one hundred sixty-six million, seven hundred seven thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 839 1026 1083 1539 1678 2166 2517 3078 3249 5034 6498 7551 9747 15102 15941 19494 22653 29241 31882 45306 47823 58482 67959 95646 135918 143469 286938 302879 430407 605758 703921 860814 908637 1291221 1407842 1817274 2111763 2582442 2725911 4223526 5451822 6335289 8177733 12670578 13374499 16355466 19005867 24533199 26748998 38011734 40123497 49066398 57017601 80246994 114035202 120370491 240740982 254115481 361111473 508230962 722222946 762346443 1083334419 1524692886 2166668838 2287039329 4574078658 6861117987 13722235974 20583353961 41166707922