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10543352506134 = 2374130557200371
BaseRepresentation
bin1001100101101101000011…
…0001111110011100010110
31101022221020100211110102020
42121123100301332130112
52340220241220144014
634231314350554010
72135506050423060
oct231332061763426
941287210743366
1010543352506134
1133a5457696a88
121223457508906
135b6306a92b96
1428642dc86730
151343cba331a9
hex996d0c7e716

10543352506134 has 64 divisors (see below), whose sum is σ = 24687805266432. Its totient is φ = 2938802745600.

The previous prime is 10543352506111. The next prime is 10543352506139. The reversal of 10543352506134 is 43160525334501.

It is a happy number.

It is a super-2 number, since 2×105433525061342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10543352506139) 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 31 ways as a sum of consecutive naturals, for example, 52518969 + ... + 52719339.

It is an arithmetic number, because the mean of its divisors is an integer number (385746957288).

Almost surely, 210543352506134 is an apocalyptic number.

10543352506134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10543352506134 is an abundant number, since it is smaller than the sum of its proper divisors (14144452760298).

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

10543352506134 is a wasteful number, since it uses less digits than its factorization.

10543352506134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230981.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 10543352506134 in words is "ten trillion, five hundred forty-three billion, three hundred fifty-two million, five hundred six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 30557 61114 91671 183342 200371 213899 400742 427798 601113 641697 1202226 1252837 1283394 1402597 2505674 2805194 3758511 4207791 7517022 8215211 8415582 8769859 16430422 17539718 24645633 26309577 49291266 52619154 57506477 115012954 172519431 345038862 6122736647 12245473294 18368209941 36736419882 42859156529 85718313058 128577469587 251032202527 257154939174 502064405054 753096607581 1506193215162 1757225417689 3514450835378 5271676253067 10543352506134