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248057786916 = 2232830092
BaseRepresentation
bin1110011100000101100…
…1010111001000100100
3212201021120111012122100
43213001121113020210
513031010243140131
6305542311132100
723631050253642
oct3470131271044
9781246435570
10248057786916
1196223176875
12400aa074030
131a512898394
14c0128ba192
1566bc56d7e6
hex39c1657224

248057786916 has 27 divisors (see below), whose sum is σ = 627042515281. Its totient is φ = 82684932864.

The previous prime is 248057786849. The next prime is 248057786941. The reversal of 248057786916 is 619687750842.

The square root of 248057786916 is 498054.

It is a perfect power (a square), and thus also a powerful number.

248057786916 is a `hidden beast` number, since 2 + 48 + 0 + 577 + 8 + 6 + 9 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151908180516 + 96149606400 = 389754^2 + 310080^2 .

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, 2946820 + ... + 3029828.

Almost surely, 2248057786916 is an apocalyptic number.

248057786916 is the 498054-th square number.

It is an amenable number.

248057786916 is an abundant number, since it is smaller than the sum of its proper divisors (378984728365).

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

248057786916 is an frugal number, since it uses more digits than its factorization.

248057786916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166028 (or 83014 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 248057786916 in words is "two hundred forty-eight billion, fifty-seven million, seven hundred eighty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 83009 166018 249027 332036 498054 747081 996108 1494162 2988324 6890494081 13780988162 20671482243 27561976324 41342964486 62014446729 82685928972 124028893458 248057786916