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10979146134 = 2341129212453
BaseRepresentation
bin10100011100110100…
…00111100110010110
31001100011012102010000
422032122013212112
5134441130134014
65013241112130
7536034126255
oct121632074626
931304172100
1010979146134
114724494aa0
122164a88646
13105c805698
1476220279c
15443d20509
hex28e687996

10979146134 has 80 divisors (see below), whose sum is σ = 27763488720. Its totient is φ = 3212274240.

The previous prime is 10979146121. The next prime is 10979146147. The reversal of 10979146134 is 43164197901.

It is a happy number.

10979146134 is a `hidden beast` number, since 10 + 9 + 7 + 9 + 14 + 613 + 4 = 666.

10979146134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10979146121) and next prime (10979146147).

It is a super-3 number, since 3×109791461343 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10979146134.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 54549 + ... + 157904.

It is an arithmetic number, because the mean of its divisors is an integer number (347043609).

Almost surely, 210979146134 is an apocalyptic number.

10979146134 is an abundant number, since it is smaller than the sum of its proper divisors (16784342586).

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

10979146134 is a wasteful number, since it uses less digits than its factorization.

10979146134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212507 (or 212498 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10979146134 in words is "ten billion, nine hundred seventy-nine million, one hundred forty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 174 198 261 297 319 522 594 638 783 891 957 1566 1782 1914 2349 2871 4698 5742 8613 17226 25839 51678 212453 424906 637359 1274718 1912077 2336983 3824154 4673966 5736231 6161137 7010949 11472462 12322274 14021898 17208693 18483411 21032847 34417386 36966822 42065694 55450233 63098541 67772507 110900466 126197082 135545014 166350699 189295623 203317521 332701398 378591246 406635042 499052097 609952563 998104194 1219905126 1829857689 3659715378 5489573067 10979146134