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248306682632 = 2341242972
BaseRepresentation
bin1110011101000000111…
…0110100101100001000
3212201220220211102101012
43213100032310230020
513032013002321012
6310023121543052
723640161656301
oct3472016645410
9781826742335
10248306682632
1196340715908
12401594a4a88
131a552312258
14c0379897a8
1566d4335622
hex39d03b4b08

248306682632 has 36 divisors (see below), whose sum is σ = 477318563415. Its totient is φ = 121097022720.

The previous prime is 248306682587. The next prime is 248306682719. The reversal of 248306682632 is 236286603842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 16046302276 + 232260380356 = 126674^2 + 481934^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=352354.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57783908 + ... + 57788204.

Almost surely, 2248306682632 is an apocalyptic number.

It is an amenable number.

248306682632 is a deficient number, since it is larger than the sum of its proper divisors (229011880783).

248306682632 is an frugal number, since it uses more digits than its factorization.

248306682632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 50.

Multiplying 248306682632 by its sum of digits (50), we get a square (12415334131600 = 35235402).

The spelling of 248306682632 in words is "two hundred forty-eight billion, three hundred six million, six hundred eighty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 41 82 164 328 1681 3362 4297 6724 8594 13448 17188 34376 176177 352354 704708 1409416 7223257 14446514 18464209 28893028 36928418 57786056 73856836 147713672 757032569 1514065138 3028130276 6056260552 31038335329 62076670658 124153341316 248306682632