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248831428465 = 52973230910181
BaseRepresentation
bin1110011110111110000…
…0100100011101110001
3212210021111020021100001
43213233200210131301
513034101321202330
6310151145030001
723656163146444
oct3475740443561
9783244207301
10248831428465
119658a944154
1240285185301
131a606c4c949
14c08754365b
15671543a9ca
hex39ef824771

248831428465 has 32 divisors (see below), whose sum is σ = 313291994400. Its totient is φ = 189467228160.

The previous prime is 248831428451. The next prime is 248831428513. The reversal of 248831428465 is 564824138842.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8460872289 + 240370556176 = 91983^2 + 490276^2 .

It is not a de Polignac number, because 248831428465 - 29 = 248831427953 is a prime.

It is a super-3 number, since 3×2488314284653 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24435675 + ... + 24445855.

It is an arithmetic number, because the mean of its divisors is an integer number (9790374825).

Almost surely, 2248831428465 is an apocalyptic number.

It is an amenable number.

248831428465 is a deficient number, since it is larger than the sum of its proper divisors (64460565935).

248831428465 is a wasteful number, since it uses less digits than its factorization.

248831428465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597.

The product of its digits is 11796480, while the sum is 55.

The spelling of 248831428465 in words is "two hundred forty-eight billion, eight hundred thirty-one million, four hundred twenty-eight thousand, four hundred sixty-five".

Divisors: 1 5 29 73 145 365 2117 2309 10181 10585 11545 50905 66961 168557 295249 334805 743213 842785 1476245 3716065 4888153 21553177 23507929 24440765 107765885 117539645 681729941 1716078817 3408649705 8580394085 49766285693 248831428465