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248063886001936 = 242232176572
BaseRepresentation
bin111000011001110011011111…
…110011101000011100010000
31012112022200020201201122000001
4320121303133303220130100
5230003234314304030221
62235330550452335344
7103152011226426154
oct7031633763503420
91175280221648001
10248063886001936
117204a3376aa464
12239a4539614554
13a855429cc42b4
1445384db38d064
151da2a9e6cc391
hexe19cdfce8710

248063886001936 has 45 divisors (see below), whose sum is σ = 482816051743701. Its totient is φ = 123468752927616.

The previous prime is 248063886001913. The next prime is 248063886001969. The reversal of 248063886001936 is 639100688360842.

The square root of 248063886001936 is 15750044.

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

It can be written as a sum of positive squares in only one way, i.e., 29655212835600 + 218408673166336 = 5445660^2 + 14778656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14049030420 + ... + 14049048076.

Almost surely, 2248063886001936 is an apocalyptic number.

248063886001936 is the 15750044-th square number.

It is an amenable number.

248063886001936 is a deficient number, since it is larger than the sum of its proper divisors (234752165741765).

248063886001936 is an frugal number, since it uses more digits than its factorization.

248063886001936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35768 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

The spelling of 248063886001936 in words is "two hundred forty-eight trillion, sixty-three billion, eight hundred eighty-six million, one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 223 446 892 1784 3568 17657 35314 49729 70628 99458 141256 198916 282512 397832 795664 3937511 7875022 15750044 31500088 63000176 311769649 623539298 878064953 1247078596 1756129906 2494157192 3512259812 4988314384 7024519624 14049039248 69524631727 139049263454 278098526908 556197053816 1112394107632 15503992875121 31007985750242 62015971500484 124031943000968 248063886001936