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348825329248 = 25117611302209
BaseRepresentation
bin1010001001101111001…
…11000001111001100000
31020100101020101202000211
411010313213001321200
521203343241013443
6424125333223504
734126134243124
oct5046747017140
91210336352024
10348825329248
11124a32893880
1257730a91b94
1326b81405186
1412c51857584
159118d6d19d
hex51379c1e60

348825329248 has 48 divisors (see below), whose sum is σ = 750166719120. Its totient is φ = 158348492800.

The previous prime is 348825329201. The next prime is 348825329267. The reversal of 348825329248 is 842923528843.

It is a super-2 number, since 2×3488253292482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348825329192 and 348825329201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383233 + ... + 918976.

It is an arithmetic number, because the mean of its divisors is an integer number (15628473315).

Almost surely, 2348825329248 is an apocalyptic number.

It is an amenable number.

348825329248 is an abundant number, since it is smaller than the sum of its proper divisors (401341389872).

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

348825329248 is a wasteful number, since it uses less digits than its factorization.

348825329248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302991 (or 1302983 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 58.

The spelling of 348825329248 in words is "three hundred forty-eight billion, eight hundred twenty-five million, three hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 761 1522 3044 6088 8371 12176 16742 24352 33484 66968 133936 267872 1302209 2604418 5208836 10417672 14324299 20835344 28648598 41670688 57297196 114594392 229188784 458377568 990981049 1981962098 3963924196 7927848392 10900791539 15855696784 21801583078 31711393568 43603166156 87206332312 174412664624 348825329248