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10536315036 = 22313617271523
BaseRepresentation
bin10011101000000001…
…10110100010011100
31000012021221021001020
421310000312202130
5133034244040121
64501301444140
7522046125432
oct116400664234
930167837036
1010536315036
114517525485
122060710650
13cbbb48a50
1471d48cd52
15419eeb1c6
hex27403689c

10536315036 has 96 divisors (see below), whose sum is σ = 26964607488. Its totient is φ = 3182319360.

The previous prime is 10536315007. The next prime is 10536315037. The reversal of 10536315036 is 63051363501.

It is a super-3 number, since 3×105363150363 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10536314988 and 10536315006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10536315037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6917371 + ... + 6918893.

It is an arithmetic number, because the mean of its divisors is an integer number (280881328).

Almost surely, 210536315036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536315036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482303744).

10536315036 is an abundant number, since it is smaller than the sum of its proper divisors (16428292452).

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

10536315036 is a wasteful number, since it uses less digits than its factorization.

10536315036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

Adding to 10536315036 its reverse (63051363501), we get a palindrome (73587678537).

The spelling of 10536315036 in words is "ten billion, five hundred thirty-six million, three hundred fifteen thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 727 732 793 1454 1523 1586 2181 2379 2908 3046 3172 4362 4569 4758 6092 8724 9138 9451 9516 18276 18902 19799 28353 37804 39598 44347 56706 59397 79196 88694 92903 113412 118794 133041 177388 185806 237588 266082 278709 371612 532164 557418 576511 1107221 1114836 1153022 1207739 1729533 2214442 2306044 2415478 3321663 3459066 3623217 4428884 4830956 6643326 6918132 7246434 13286652 14393873 14492868 28787746 43181619 57575492 67540481 86363238 135080962 172726476 202621443 270161924 405242886 810485772 878026253 1756052506 2634078759 3512105012 5268157518 10536315036