Search a number
-
+
122661922473 = 3213629102497
BaseRepresentation
bin111001000111100111…
…0000110011010101001
3102201121112001021122200
41302033032012122221
54002202423004343
6132203342410413
711601451065216
oct1621716063251
9381545037580
10122661922473
1148025503952
121b933290a09
13b74a82b31c
145d18aa6b0d
1532cda184d3
hex1c8f3866a9

122661922473 has 6 divisors (see below), whose sum is σ = 177178332474. Its totient is φ = 81774614976.

The previous prime is 122661922463. The next prime is 122661922511. The reversal of 122661922473 is 374229166221.

122661922473 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 619 + 2 + 24 + 7 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107526279744 + 15135642729 = 327912^2 + 123027^2 .

It is not a de Polignac number, because 122661922473 - 212 = 122661918377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122661922463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6814551240 + ... + 6814551257.

It is an arithmetic number, because the mean of its divisors is an integer number (29529722079).

Almost surely, 2122661922473 is an apocalyptic number.

It is an amenable number.

122661922473 is a deficient number, since it is larger than the sum of its proper divisors (54516410001).

122661922473 is a wasteful number, since it uses less digits than its factorization.

122661922473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13629102503 (or 13629102500 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 122661922473 in words is "one hundred twenty-two billion, six hundred sixty-one million, nine hundred twenty-two thousand, four hundred seventy-three".

Divisors: 1 3 9 13629102497 40887307491 122661922473