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6000104457 = 331720276449
BaseRepresentation
bin1011001011010001…
…00101010000001001
3120111011020212222000
411211220211100021
544242011320312
62431215021213
7301455021624
oct54550452011
916434225860
106000104457
1125a99a2316
1211b550a809
13748104489
1440cc38dbb
15251b58adc
hex165a25409

6000104457 has 32 divisors (see below), whose sum is σ = 9418032000. Its totient is φ = 3762330624.

The previous prime is 6000104419. The next prime is 6000104477. The reversal of 6000104457 is 7544010006.

6000104457 is a `hidden beast` number, since 600 + 0 + 1 + 0 + 4 + 4 + 57 = 666.

6000104457 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6000104457 - 210 = 6000103433 is a prime.

It is a super-2 number, since 2×60001044572 = 72002506989822529698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6000104457.

It is not an unprimeable number, because it can be changed into a prime (6000104477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927169 + ... + 933617.

It is an arithmetic number, because the mean of its divisors is an integer number (294313500).

Almost surely, 26000104457 is an apocalyptic number.

It is an amenable number.

6000104457 is a deficient number, since it is larger than the sum of its proper divisors (3417927543).

6000104457 is a wasteful number, since it uses less digits than its factorization.

6000104457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6000104457 is about 77460.3411882494. The cubic root of 6000104457 is about 1817.1311378246.

The spelling of 6000104457 in words is "six billion, one hundred four thousand, four hundred fifty-seven".

Divisors: 1 3 9 17 27 51 153 459 2027 6081 6449 18243 19347 34459 54729 58041 103377 109633 174123 310131 328899 930393 986697 2960091 13072123 39216369 117649107 222226091 352947321 666678273 2000034819 6000104457