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9742975647876 = 223267327732
BaseRepresentation
bin1000110111000111011010…
…0110100100000010000100
31021111102022201120100002100
42031301312212210002010
52234112103231213001
632415510005112100
72023623006401652
oct215616646440204
937442281510070
109742975647876
113116a77833089
1211143069b8630
135589b2a18373
142597c3861dd2
1511d6855ee586
hex8dc769a4084

9742975647876 has 81 divisors (see below), whose sum is σ = 24696675249519. Its totient is φ = 3238637778432.

The previous prime is 9742975647841. The next prime is 9742975647887. The reversal of 9742975647876 is 6787465792479.

The square root of 9742975647876 is 3121374.

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

9742975647876 is a `hidden beast` number, since 9 + 7 + 4 + 2 + 9 + 75 + 6 + 478 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4108429009476 + 5634546638400 = 2026926^2 + 2373720^2 .

It is a super-2 number, since 2×97429756478762 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9742975647795 and 9742975647804.

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, 12604107826 + ... + 12604108598.

Almost surely, 29742975647876 is an apocalyptic number.

9742975647876 is the 3121374-th square number.

It is an amenable number.

9742975647876 is an abundant number, since it is smaller than the sum of its proper divisors (14953699601643).

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

9742975647876 is an frugal number, since it uses more digits than its factorization.

9742975647876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 1451 counting only the distinct ones).

The product of its digits is 8961684480, while the sum is 81.

Multiplying 9742975647876 by its sum of digits (81), we get a square (789181027477956 = 280923662).

The spelling of 9742975647876 in words is "nine trillion, seven hundred forty-two billion, nine hundred seventy-five million, six hundred forty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 673 773 1346 1546 2019 2319 2692 3092 4038 4638 6057 6957 8076 9276 12114 13914 24228 27828 452929 520229 597529 905858 1040458 1195058 1358787 1560687 1792587 1811716 2080916 2390116 2717574 3121374 3585174 4076361 4682061 5377761 5435148 6242748 7170348 8152722 9364122 10755522 16305444 18728244 21511044 350114117 402137017 700228234 804274034 1050342351 1206411051 1400456468 1608548068 2100684702 2412822102 3151027053 3619233153 4201369404 4825644204 6302054106 7238466306 12604108212 14476932612 270638212441 541276424882 811914637323 1082552849764 1623829274646 2435743911969 3247658549292 4871487823938 9742975647876