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6475047012 = 223571950087
BaseRepresentation
bin1100000011111000…
…10110000001100100
3121201020221110200000
412001330112001210
5101230103001022
62550302421300
7316312664040
oct60174260144
917636843600
106475047012
112822aa4725
121308591830
137c2625185
14455d4b020
1527d6c26ac
hex181f16064

6475047012 has 144 divisors (see below), whose sum is σ = 20419875840. Its totient is φ = 1752609312.

The previous prime is 6475047011. The next prime is 6475047043. The reversal of 6475047012 is 2107405746.

6475047012 is a `hidden beast` number, since 647 + 5 + 0 + 4 + 7 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×64750470122 = 83852467615220256288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6475047011) 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 47 ways as a sum of consecutive naturals, for example, 104233 + ... + 154319.

Almost surely, 26475047012 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 6475047012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10209937920).

6475047012 is an abundant number, since it is smaller than the sum of its proper divisors (13944828828).

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

6475047012 is a wasteful number, since it uses less digits than its factorization.

6475047012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50132 (or 50118 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 6475047012 is about 80467.6768149796. The cubic root of 6475047012 is about 1863.8643798650.

The spelling of 6475047012 in words is "six billion, four hundred seventy-five million, forty-seven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 243 252 266 324 342 378 399 486 513 532 567 684 756 798 972 1026 1134 1197 1539 1596 1701 2052 2268 2394 3078 3402 3591 4617 4788 6156 6804 7182 9234 10773 14364 18468 21546 32319 43092 50087 64638 100174 129276 150261 200348 300522 350609 450783 601044 701218 901566 951653 1051827 1352349 1402436 1803132 1903306 2103654 2704698 2854959 3155481 3806612 4057047 4207308 5409396 5709918 6310962 6661571 8114094 8564877 9466443 11419836 12171141 12621924 13323142 16228188 17129754 18932886 19984713 24342282 25694631 26646284 28399329 34259508 37865772 39969426 48684564 51389262 56798658 59954139 77083893 79938852 85197987 102778524 113597316 119908278 154167786 170395974 179862417 231251679 239816556 308335572 340791948 359724834 462503358 539587251 719449668 925006716 1079174502 1618761753 2158349004 3237523506 6475047012