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10632485837 = 838910114251
BaseRepresentation
bin10011110011011111…
…01101101111001101
31000102222220020120202
421321233231233031
5133233404021322
64515015023245
7524324431661
oct117157555715
930388806522
1010632485837
114566840a86
12208896ab25
131005a4b64c
1472c1648a1
15423696292
hex279bedbcd

10632485837 has 16 divisors (see below), whose sum is σ = 10990002240. Its totient is φ = 10282800000.

The previous prime is 10632485821. The next prime is 10632485863. The reversal of 10632485837 is 73858423601.

It is a cyclic number.

It is not a de Polignac number, because 10632485837 - 24 = 10632485821 is a prime.

It is a super-2 number, since 2×106324858372 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10632485791 and 10632485800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10632485887) 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 15 ways as a sum of consecutive naturals, for example, 738962 + ... + 753212.

It is an arithmetic number, because the mean of its divisors is an integer number (686875140).

Almost surely, 210632485837 is an apocalyptic number.

It is an amenable number.

10632485837 is a deficient number, since it is larger than the sum of its proper divisors (357516403).

10632485837 is a wasteful number, since it uses less digits than its factorization.

10632485837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14524.

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 10632485837 in words is "ten billion, six hundred thirty-two million, four hundred eighty-five thousand, eight hundred thirty-seven".

Divisors: 1 83 89 101 7387 8383 8989 14251 746087 1182833 1268339 1439351 105272137 119466133 128102239 10632485837