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6006100014 = 232477099409
BaseRepresentation
bin1011001011111110…
…11101000000101110
3120111120112111022200
411211333131000232
544300030200024
62431551322330
7301560002445
oct54577350056
916446474280
106006100014
112602317922
1211b75203a6
13749423445
1440d959d5c
152524402c9
hex165fdd02e

6006100014 has 24 divisors (see below), whose sum is σ = 13290095520. Its totient is φ = 1959436608.

The previous prime is 6006099971. The next prime is 6006100021. The reversal of 6006100014 is 4100016006.

6006100014 is a `hidden beast` number, since 600 + 61 + 0 + 0 + 0 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6006100014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3548859 + ... + 3550550.

It is an arithmetic number, because the mean of its divisors is an integer number (553753980).

Almost surely, 26006100014 is an apocalyptic number.

6006100014 is an abundant number, since it is smaller than the sum of its proper divisors (7283995506).

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

6006100014 is a wasteful number, since it uses less digits than its factorization.

6006100014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099464 (or 7099461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6006100014 is about 77499.0323423461. The cubic root of 6006100014 is about 1817.7361876525.

The spelling of 6006100014 in words is "six billion, six million, one hundred thousand, fourteen".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 7099409 14198818 21298227 42596454 63894681 127789362 333672223 667344446 1001016669 2002033338 3003050007 6006100014