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180074410938 = 23226937190089
BaseRepresentation
bin1010011110110101000…
…1010111001110111010
3122012210200202212212100
42213231101113032322
510422243022122223
6214420335324230
716003261144422
oct2475521271672
9565720685770
10180074410938
116a407346224
122aa96680676
1313c9a1989a6
148a03a49482
154a3e006043
hex29ed4573ba

180074410938 has 24 divisors (see below), whose sum is σ = 391611647700. Its totient is φ = 59801661504.

The previous prime is 180074410931. The next prime is 180074410949. The reversal of 180074410938 is 839014470081.

It is a happy number.

180074410938 is a `hidden beast` number, since 1 + 80 + 0 + 74 + 410 + 93 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180019458369 + 54952569 = 424287^2 + 7413^2 .

It is a junction number, because it is equal to n+sod(n) for n = 180074410893 and 180074410902.

It is not an unprimeable number, because it can be changed into a prime (180074410931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18590203 + ... + 18599886.

Almost surely, 2180074410938 is an apocalyptic number.

180074410938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

180074410938 is an abundant number, since it is smaller than the sum of its proper divisors (211537236762).

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

180074410938 is a wasteful number, since it uses less digits than its factorization.

180074410938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37190366 (or 37190363 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 180074410938 in words is "one hundred eighty billion, seventy-four million, four hundred ten thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 4842 37190089 74380178 111570267 223140534 334710801 669421602 10004133941 20008267882 30012401823 60024803646 90037205469 180074410938