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4006643716537 = 7211231733116007
BaseRepresentation
bin111010010011011110100…
…100110101000110111001
3112012000211220000110200121
4322103132210311012321
51011121101242412122
612304343211533241
7562320236445100
oct72233644650671
915160756013617
104006643716537
111305231a1a1a0
12548620a5a221
13230a95358457
14dbccb835037
156e34e398bc7
hex3a4de9351b9

4006643716537 has 96 divisors (see below), whose sum is σ = 5354280382464. Its totient is φ = 2959016860800.

The previous prime is 4006643716519. The next prime is 4006643716547. The reversal of 4006643716537 is 7356173466004.

It is not a de Polignac number, because 4006643716537 - 227 = 4006509498809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4006643716547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666992788 + ... + 666998794.

It is an arithmetic number, because the mean of its divisors is an integer number (55773753984).

Almost surely, 24006643716537 is an apocalyptic number.

It is an amenable number.

4006643716537 is a deficient number, since it is larger than the sum of its proper divisors (1347636665927).

4006643716537 is a wasteful number, since it uses less digits than its factorization.

4006643716537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 52.

The spelling of 4006643716537 in words is "four trillion, six billion, six hundred forty-three million, seven hundred sixteen thousand, five hundred thirty-seven".

Divisors: 1 7 11 23 49 77 161 173 253 311 539 1127 1211 1771 1903 2177 3421 3979 6007 7153 8477 12397 13321 15239 23947 27853 42049 43769 50071 53803 66077 78683 93247 138161 167629 194971 294343 306383 350497 376621 462539 550781 591833 967127 1039211 1237469 1519771 1868177 2144681 2636347 3237773 3855467 4142831 6769889 7274477 8662283 10638397 11431321 13077239 13612159 20549947 23901853 28999817 42968071 50921339 60635981 74468779 80019247 91540673 95285113 143849629 167312971 262920383 300776497 323194621 472648781 560134729 666995791 1006947403 1171190797 1840442681 2105435479 2262362347 3308541467 3555140831 7433476283 12883098767 15836536429 23159790269 24885985817 52034333981 81768239113 174201900719 364240337867 572377673791 4006643716537