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10674682141 = 415327118127
BaseRepresentation
bin10011111000100001…
…01011100100011101
31000112221022001000211
421330100223210131
5133330204312031
64523123252421
7525346205164
oct117420534435
930487261024
1010674682141
114588641762
12209ab1a111
131011703a86
147339ca3db
1542722dbb1
hex27c42b91d

10674682141 has 16 divisors (see below), whose sum is σ = 11183090688. Its totient is φ = 10179561600.

The previous prime is 10674682133. The next prime is 10674682153. The reversal of 10674682141 is 14128647601.

10674682141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10674682141 - 23 = 10674682133 is a prime.

It is a super-2 number, since 2×106746821412 (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 = 10674682094 and 10674682103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10674682121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579820 + ... + 597946.

It is an arithmetic number, because the mean of its divisors is an integer number (698943168).

Almost surely, 210674682141 is an apocalyptic number.

It is an amenable number.

10674682141 is a deficient number, since it is larger than the sum of its proper divisors (508408547).

10674682141 is a wasteful number, since it uses less digits than its factorization.

10674682141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18492.

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 10674682141 in words is "ten billion, six hundred seventy-four million, six hundred eighty-two thousand, one hundred forty-one".

Divisors: 1 41 53 271 2173 11111 14363 18127 588883 743207 960731 4912417 39389971 201409097 260358101 10674682141