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348064837056 = 2632679019093
BaseRepresentation
bin1010001000010100100…
…01111110110111000000
31020021102020101201212100
411010022101332313000
521200314044241211
6423522045230400
734101241204536
oct5041221766700
91207366351770
10348064837056
11124682587832
125755a262400
1326a8c9a5ab1
1412bbc854156
1590c21ec156
hex510a47edc0

348064837056 has 84 divisors (see below), whose sum is σ = 1012555645192. Its totient is φ = 114289933824.

The previous prime is 348064837037. The next prime is 348064837063. The reversal of 348064837056 is 650738460843.

348064837056 is a `hidden beast` number, since 3 + 48 + 0 + 6 + 483 + 70 + 56 = 666.

It is a super-2 number, since 2×3480648370562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348064836993 and 348064837011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4470955 + ... + 4548138.

Almost surely, 2348064837056 is an apocalyptic number.

348064837056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

348064837056 is an abundant number, since it is smaller than the sum of its proper divisors (664490808136).

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

348064837056 is a wasteful number, since it uses less digits than its factorization.

348064837056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019178 (or 9019165 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 348064837056 in words is "three hundred forty-eight billion, sixty-four million, eight hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 2144 2412 3216 4288 4824 6432 9648 12864 19296 38592 9019093 18038186 27057279 36076372 54114558 72152744 81171837 108229116 144305488 162343674 216458232 288610976 324687348 432916464 577221952 604279231 649374696 865832928 1208558462 1298749392 1731665856 1812837693 2417116924 2597498784 3625675386 4834233848 5194997568 5438513079 7251350772 9668467696 10877026158 14502701544 19336935392 21754052316 29005403088 38673870784 43508104632 58010806176 87016209264 116021612352 174032418528 348064837056