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10424992649071 = 71113371631726841
BaseRepresentation
bin1001011110110100000111…
…1110111100111101101111
31100220121201122212202001111
42113231001332330331233
52331300341104232241
634101101524252451
72124116015302360
oct227550176747557
940817648782044
1010424992649071
11335a23a6315a0
121204524b41127
135a80c36281c0
142808026c3b67
151312a0a5ac81
hex97b41fbcf6f

10424992649071 has 64 divisors (see below), whose sum is σ = 14463697038336. Its totient is φ = 7251070233600.

The previous prime is 10424992649039. The next prime is 10424992649111. The reversal of 10424992649071 is 17094629942401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10424992649071 - 25 = 10424992649039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10424992648997 and 10424992649015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424992649671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5173611 + ... + 6900451.

It is an arithmetic number, because the mean of its divisors is an integer number (225995266224).

Almost surely, 210424992649071 is an apocalyptic number.

10424992649071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10424992649071 is a deficient number, since it is larger than the sum of its proper divisors (4038704389265).

10424992649071 is a wasteful number, since it uses less digits than its factorization.

10424992649071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727072.

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 10424992649071 in words is "ten trillion, four hundred twenty-four billion, nine hundred ninety-two million, six hundred forty-nine thousand, seventy-one".

Divisors: 1 7 11 13 37 77 91 143 163 259 407 481 1001 1141 1793 2119 2849 3367 5291 6031 12551 14833 23309 37037 42217 66341 78403 163163 464387 548821 862433 1726841 6037031 12087887 18995251 22448933 63893117 132966757 157142531 246938263 281475083 447251819 702824287 830610521 1728567841 1970325581 3096225913 3659176079 4919770009 5814273647 9136715731 10414578071 21673581391 25614232553 40250936869 63957010117 72902046497 114560358781 135389514923 281756558083 801922511467 947726604461 1489284664153 10424992649071