Search a number
-
+
166761156496 = 2411292812
BaseRepresentation
bin1001101101001110111…
…1010100111110010000
3120221102212112111002111
42123103233110332100
510213011324001441
6204335314155104
715022332304504
oct2332357247620
9527385474074
10166761156496
11647a5364100
122839bb82a94
1312957c3823c
1480dd85a304
154510328081
hex26d3bd4f90

166761156496 has 45 divisors (see below), whose sum is σ = 355180959889. Its totient is φ = 75792358400.

The previous prime is 166761156479. The next prime is 166761156509. The reversal of 166761156496 is 694651167661.

The square root of 166761156496 is 408364.

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., 148869418896 + 17891737600 = 385836^2 + 133760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 166761156496.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17963376 + ... + 17972656.

Almost surely, 2166761156496 is an apocalyptic number.

166761156496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166761156496 is the 408364-th square number.

It is an amenable number.

166761156496 is an abundant number, since it is smaller than the sum of its proper divisors (188419803393).

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

166761156496 is an frugal number, since it uses more digits than its factorization.

166761156496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18592 (or 9294 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The spelling of 166761156496 in words is "one hundred sixty-six billion, seven hundred sixty-one million, one hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 9281 18562 37124 74248 102091 148496 204182 408364 816728 1123001 1633456 2246002 4492004 8984008 17968016 86136961 172273922 344547844 689095688 947506571 1378191376 1895013142 3790026284 7580052568 10422572281 15160105136 20845144562 41690289124 83380578248 166761156496