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10585378674 = 2331315078887
BaseRepresentation
bin10011101101111000…
…00000111101110010
31000022201020221201000
421312330000331302
5133134324104144
64510213222430
7523213143213
oct116674007562
930281227630
1010585378674
114542196742
122075031a16
13cc9066ba0
14725bc140a
1541e48d769
hex276f00f72

10585378674 has 32 divisors (see below), whose sum is σ = 25332531840. Its totient is φ = 3257039376.

The previous prime is 10585378673. The next prime is 10585378693. The reversal of 10585378674 is 47687358501.

It is a happy number.

It is a super-2 number, since 2×105853786742 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10585378674.

It is not an unprimeable number, because it can be changed into a prime (10585378673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7538742 + ... + 7540145.

It is an arithmetic number, because the mean of its divisors is an integer number (791641620).

Almost surely, 210585378674 is an apocalyptic number.

10585378674 is an abundant number, since it is smaller than the sum of its proper divisors (14747153166).

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

10585378674 is a wasteful number, since it uses less digits than its factorization.

10585378674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15078911 (or 15078905 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 10585378674 in words is "ten billion, five hundred eighty-five million, three hundred seventy-eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 15078887 30157774 45236661 90473322 135709983 196025531 271419966 392051062 407129949 588076593 814259898 1176153186 1764229779 3528459558 5292689337 10585378674