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10814752036 = 221122921632
BaseRepresentation
bin10100001001001110…
…00000010100100100
31000220200212022210201
422010213000110210
5134122034031121
64545045400244
7531666606214
oct120447002444
930820768721
1010814752036
11464a711300
122119a09084
131034736b7a
1474844c244
1543469ae91
hex2849c0524

10814752036 has 81 divisors (see below), whose sum is σ = 21677816433. Its totient is φ = 4717167840.

The previous prime is 10814751973. The next prime is 10814752051. The reversal of 10814752036 is 63025741801.

The square root of 10814752036 is 103994.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5670993636 + 5143758400 = 75306^2 + 71720^2 .

It is a super-3 number, since 3×108147520363 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10814751986 and 10814752004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66348091 + ... + 66348253.

Almost surely, 210814752036 is an apocalyptic number.

10814752036 is the 103994-th square number.

It is an amenable number.

10814752036 is an abundant number, since it is smaller than the sum of its proper divisors (10863064397).

10814752036 is a wasteful number, since it uses less digits than its factorization.

10814752036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10814752036 in words is "ten billion, eight hundred fourteen million, seven hundred fifty-two thousand, thirty-six".

Divisors: 1 2 4 11 22 29 44 58 116 121 163 242 319 326 484 638 652 841 1276 1682 1793 3364 3509 3586 4727 7018 7172 9251 9454 14036 18502 18908 19723 26569 37004 39446 51997 53138 78892 101761 103994 106276 137083 203522 207988 274166 292259 407044 548332 571967 584518 770501 1143934 1169036 1507913 1541002 2287868 3015826 3082004 3214849 6031652 6429698 8475511 12859396 16587043 16951022 22344529 33174086 33902044 44689058 66348172 89378116 93230621 186461242 245789819 372922484 491579638 983159276 2703688009 5407376018 10814752036