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348042211872 = 25327581131447
BaseRepresentation
bin1010001000010001110…
…11101011001000100000
31020021100122211020221120
411010020323223020200
521200242301234442
6423515520252240
734100544663105
oct5041073531040
91207318736846
10348042211872
11124670834133
1257552771080
1326a880b3804
1412bb9844aac
1590c022d4ec
hex5108eeb220

348042211872 has 48 divisors (see below), whose sum is σ = 913650881472. Its totient is φ = 116008981760.

The previous prime is 348042211871. The next prime is 348042211877. The reversal of 348042211872 is 278112240843.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3480422118722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348042211871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2582053 + ... + 2713499.

It is an arithmetic number, because the mean of its divisors is an integer number (19034393364).

Almost surely, 2348042211872 is an apocalyptic number.

348042211872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

348042211872 is an abundant number, since it is smaller than the sum of its proper divisors (565608669600).

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

348042211872 is a wasteful number, since it uses less digits than its factorization.

348042211872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159041 (or 159033 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 348042211872 in words is "three hundred forty-eight billion, forty-two million, two hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 27581 55162 82743 110324 131447 165486 220648 262894 330972 394341 441296 525788 661944 788682 882592 1051576 1323888 1577364 2103152 2647776 3154728 4206304 6309456 12618912 3625439707 7250879414 10876319121 14501758828 21752638242 29003517656 43505276484 58007035312 87010552968 116014070624 174021105936 348042211872