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103866976656 = 243210722512
BaseRepresentation
bin110000010111011110…
…1000100100110010000
3100221002200001002222100
41200232331010212100
53200204421223111
6115414341440400
710334630506632
oct1405675044620
9327080032870
10103866976656
1140060222983
1218168a10100
139a439c7501
145054868a52
152a7d985756
hex182ef44990

103866976656 has 135 divisors (see below), whose sum is σ = 294599013163. Its totient is φ = 34162104000.

The previous prime is 103866976621. The next prime is 103866976667. The reversal of 103866976656 is 656679668301.

It is a happy number.

The square root of 103866976656 is 322284.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103866976593 and 103866976602.

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, 413812531 + ... + 413812781.

Almost surely, 2103866976656 is an apocalyptic number.

103866976656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103866976656 is the 322284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103866976656

103866976656 is an abundant number, since it is smaller than the sum of its proper divisors (190732036507).

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

103866976656 is an equidigital number, since it uses as much as digits as its factorization.

103866976656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 103866976656 in words is "one hundred three billion, eight hundred sixty-six million, nine hundred seventy-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 251 321 428 502 642 753 856 963 1004 1284 1506 1712 1926 2008 2259 2568 3012 3852 4016 4518 5136 6024 7704 9036 11449 12048 15408 18072 22898 26857 34347 36144 45796 53714 63001 68694 80571 91592 103041 107428 126002 137388 161142 183184 189003 206082 214856 241713 252004 274776 322284 378006 412164 429712 483426 504008 549552 567009 644568 756012 824328 966852 1008016 1134018 1289136 1512024 1648656 1933704 2268036 2873699 3024048 3867408 4536072 5747398 6741107 8621097 9072144 11494796 13482214 17242194 20223321 22989592 25863291 26964428 34484388 40446642 45979184 51726582 53928856 60669963 68968776 80893284 103453164 107857712 121339926 137937552 161786568 206906328 242679852 323573136 413812656 485359704 721298449 970719408 1442596898 2163895347 2885193796 4327790694 5770387592 6491686041 8655581388 11540775184 12983372082 17311162776 25966744164 34622325552 51933488328 103866976656