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2325052505232 = 243297166455649
BaseRepresentation
bin100001110101010111111…
…011011011110010010000
322020021100220111000011100
4201311113323123302100
5301043201420131412
64540040412144400
7326656653132312
oct41652773336220
98207326430140
102325052505232
1181705a586066
1231673b468100
1313b336750c72
1480766d257b2
154072ec80edc
hex21d57edbc90

2325052505232 has 60 divisors (see below), whose sum is σ = 6573999441100. Its totient is φ = 767027625984.

The previous prime is 2325052505219. The next prime is 2325052505297.

2325052505232 is a `hidden beast` number, since 2 + 3 + 2 + 50 + 525 + 0 + 52 + 32 = 666.

2325052505232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 381805353216 + 1943247152016 = 617904^2 + 1394004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83213857 + ... + 83241792.

Almost surely, 22325052505232 is an apocalyptic number.

It is an amenable number.

2325052505232 is an abundant number, since it is smaller than the sum of its proper divisors (4248946935868).

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

2325052505232 is a wasteful number, since it uses less digits than its factorization.

2325052505232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166455760 (or 166455751 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 2325052505232 in words is "two trillion, three hundred twenty-five billion, fifty-two million, five hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 166455649 332911298 499366947 665822596 998733894 1331645192 1498100841 1997467788 2663290384 2996201682 3994935576 5992403364 7989871152 11984806728 16146197953 23969613456 32292395906 48438593859 64584791812 96877187718 129169583624 145315781577 193754375436 258339167248 290631563154 387508750872 581263126308 775017501744 1162526252616 2325052505232