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10344238332516 = 2232112487312
BaseRepresentation
bin1001011010000111010010…
…1001101011101001100100
31100121220021202101102021100
42112201310221223221210
52323440000003120031
634000024423120100
72115226604033214
oct226416451535144
940556252342240
1010344238332516
113328a6a957300
1211b09485a3030
135a05c4146c3a
1427a9416b2244
1512e12623ade6
hex96874a6ba64

10344238332516 has 81 divisors (see below), whose sum is σ = 28741709302579. Its totient is φ = 3134553351600.

The previous prime is 10344238332509. The next prime is 10344238332539. The reversal of 10344238332516 is 61523383244301.

It is a happy number.

The square root of 10344238332516 is 3216246.

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

10344238332516 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 23 + 83 + 32 + 516 = 666.

It is a Duffinian number.

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, 212247871 + ... + 212296601.

Almost surely, 210344238332516 is an apocalyptic number.

10344238332516 is the 3216246-th square number.

It is an amenable number.

10344238332516 is an abundant number, since it is smaller than the sum of its proper divisors (18397470970063).

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

10344238332516 is an frugal number, since it uses more digits than its factorization.

10344238332516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97494 (or 48747 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 10344238332516 in words is "ten trillion, three hundred forty-four billion, two hundred thirty-eight million, three hundred thirty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 48731 97462 146193 194924 292386 438579 536041 584772 877158 1072082 1608123 1754316 2144164 3216246 4824369 5896451 6432492 9648738 11792902 17689353 19297476 23585804 35378706 53068059 70757412 106136118 212272236 2374710361 4749420722 7124131083 9498841444 14248262166 21372393249 26121813971 28496524332 42744786498 52243627942 78365441913 85489572996 104487255884 156730883826 235096325739 287339953681 313461767652 470192651478 574679907362 862019861043 940385302956 1149359814724 1724039722086 2586059583129 3448079444172 5172119166258 10344238332516