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102885694564 = 221922323672
BaseRepresentation
bin101111111010001110…
…1110001110001100100
3100211120021120211000011
41133310131301301210
53141202214211224
6115133125300004
710301413655122
oct1376435616144
9324507524004
10102885694564
113a6a7324144
1217b34264604
139918612013
144da03d0912
152a22750394
hex17f4771c64

102885694564 has 81 divisors (see below), whose sum is σ = 199188951507. Its totient is φ = 46489381488.

The previous prime is 102885694531. The next prime is 102885694619. The reversal of 102885694564 is 465496588201.

It is a happy number.

The square root of 102885694564 is 320758.

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

It is a super-2 number, since 2×1028856945642 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102885694499 and 102885694508.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280342309 + ... + 280342675.

Almost surely, 2102885694564 is an apocalyptic number.

102885694564 is the 320758-th square number.

It is an amenable number.

102885694564 is a deficient number, since it is larger than the sum of its proper divisors (96303256943).

102885694564 is an equidigital number, since it uses as much as digits as its factorization.

102885694564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

It can be divided in two parts, 102885 and 694564, that added together give a square (797449 = 8932).

The spelling of 102885694564 in words is "one hundred two billion, eight hundred eighty-five million, six hundred ninety-four thousand, five hundred sixty-four".

Divisors: 1 2 4 19 23 38 46 76 92 361 367 437 529 722 734 874 1058 1444 1468 1748 2116 6973 8303 8441 10051 13946 16606 16882 20102 27892 33212 33764 40204 132487 134689 160379 190969 194143 264974 269378 320758 381938 388286 529948 538756 641516 763876 776572 2559091 3047201 3097847 3688717 5118182 6094402 6195694 7377434 10236364 12188804 12391388 14754868 48622729 58859093 70085623 71250481 97245458 117718186 140171246 142500962 194490916 235436372 280342492 285001924 1118322767 1353759139 2236645534 2707518278 4473291068 5415036556 25721423641 51442847282 102885694564