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348746604012 = 223231241534639
BaseRepresentation
bin1010001001100101110…
…10101101110111101100
31020100011202021002022100
411010302322231313230
521203213112312022
6424113442015100
734124160136362
oct5046272556754
91210152232270
10348746604012
111249a24033a4
125770a647490
1326b6b0000b1
1412c45203632
159111ebc1ac
hex5132eaddec

348746604012 has 216 divisors, whose sum is σ = 950936837760. Its totient is φ = 107660966400.

The previous prime is 348746603983. The next prime is 348746604049. The reversal of 348746604012 is 210406647843.

348746604012 is a `hidden beast` number, since 34 + 8 + 7 + 4 + 6 + 604 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×3487466040122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75174789 + ... + 75179427.

It is an arithmetic number, because the mean of its divisors is an integer number (4402485360).

Almost surely, 2348746604012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348746604012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475468418880).

348746604012 is an abundant number, since it is smaller than the sum of its proper divisors (602190233748).

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

348746604012 is a wasteful number, since it uses less digits than its factorization.

348746604012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 348746604012 in words is "three hundred forty-eight billion, seven hundred forty-six million, six hundred four thousand, twelve".