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348135622848 = 26321361975109
BaseRepresentation
bin1010001000011101000…
…00000000100011000000
31020021121011121000201100
411010032200000203000
521200440204412343
6423533054334400
734103060653236
oct5041640004300
91207534530640
10348135622848
11124709535192
1257579aba400
1326aa155b190
1412bc7ddc956
1590c85309d3
hex510e8008c0

348135622848 has 168 divisors, whose sum is σ = 1076377374800. Its totient is φ = 106944178176.

The previous prime is 348135622841. The next prime is 348135622853. The reversal of 348135622848 is 848226531843.

348135622848 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 3 + 5 + 622 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×3481356228482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348135622794 and 348135622803.

It is not an unprimeable number, because it can be changed into a prime (348135622841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4597518 + ... + 4672626.

Almost surely, 2348135622848 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 348135622848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538188687400).

348135622848 is an abundant number, since it is smaller than the sum of its proper divisors (728241751952).

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

348135622848 is a wasteful number, since it uses less digits than its factorization.

348135622848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75759 (or 75746 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 348135622848 in words is "three hundred forty-eight billion, one hundred thirty-five million, six hundred twenty-two thousand, eight hundred forty-eight".