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180404917081 = 2325923132
BaseRepresentation
bin1010100000000011111…
…0001001001101011001
3122020122201200100001121
42220000332021031121
510423432124321311
6214513223245241
716014413331244
oct2500076111531
9566581610047
10180404917081
116a5669663a4
122ab692a9821
13140207b7c5c
148a358c025b
154a5d03db71
hex2a00f89359

180404917081 has 27 divisors (see below), whose sum is σ = 192455116959. Its totient is φ = 169094488992.

The previous prime is 180404917057. The next prime is 180404917087. The reversal of 180404917081 is 180719404081.

It is a happy number.

The square root of 180404917081 is 424741.

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., 1150905625 + 179254011456 = 33925^2 + 423384^2 .

It is not a de Polignac number, because 180404917081 - 27 = 180404916953 is a prime.

It is a super-2 number, since 2×1804049170812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180404917087) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 576373381 + ... + 576373693.

Almost surely, 2180404917081 is an apocalyptic number.

180404917081 is the 424741-st square number.

180404917081 is the 212371-st centered octagonal number.

It is an amenable number.

180404917081 is a deficient number, since it is larger than the sum of its proper divisors (12050199878).

180404917081 is an frugal number, since it uses more digits than its factorization.

180404917081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 180404917081 in words is "one hundred eighty billion, four hundred four million, nine hundred seventeen thousand, eighty-one".

Divisors: 1 23 59 313 529 1357 3481 7199 18467 31211 80063 97969 165577 424741 1089553 1841449 2253287 5780171 9769043 25059719 51825601 132943933 341030089 576373537 3057710459 7843692047 180404917081