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2248730648671 = 134322573131163
BaseRepresentation
bin100000101110010010110…
…010101010000001011111
321221222100220102222102011
4200232102302222001133
5243320400021224141
64441015210012051
7321315433064053
oct40562262520137
97858326388364
102248730648671
11797754910651
1230399b417027
131340926595b0
147aba687bc63
153d76465c881
hex20b92caa05f

2248730648671 has 48 divisors (see below), whose sum is σ = 2499084747936. Its totient is φ = 2011405713408.

The previous prime is 2248730648663. The next prime is 2248730648719. The reversal of 2248730648671 is 1768460378422.

It is not a de Polignac number, because 2248730648671 - 23 = 2248730648663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248730648621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933559736 + ... + 1933560898.

It is an arithmetic number, because the mean of its divisors is an integer number (52064265582).

Almost surely, 22248730648671 is an apocalyptic number.

2248730648671 is a deficient number, since it is larger than the sum of its proper divisors (250354099265).

2248730648671 is a wasteful number, since it uses less digits than its factorization.

2248730648671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 2248730648671 in words is "two trillion, two hundred forty-eight billion, seven hundred thirty million, six hundred forty-eight thousand, six hundred seventy-one".

Divisors: 1 13 43 257 313 559 1163 1849 3341 4069 11051 13459 15119 24037 50009 80441 143663 174967 298891 364019 475193 578737 650117 1045733 2150387 3458963 3885583 4732247 6177509 7523581 12852313 15652817 27955031 44966519 93552883 148735409 167080069 203486621 552649459 673071131 1216187479 1933560317 4022773969 7184442967 8749924703 52296061597 172979280667 2248730648671