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5126166922816 = 2637276492
BaseRepresentation
bin100101010011000011101…
…0110111100011001000000
3200011001112101102212122101
41022212013112330121000
51132441342213012231
614522532323320144
71036232123624302
oct112460726743100
920131471385571
105126166922816
1116a6aa4653005
126a959ab20054
132b251aabcb94
1413a171b4d972
158d523cd3661
hex4a9875bc640

5126166922816 has 63 divisors (see below), whose sum is σ = 10455960210339. Its totient is φ = 2493484904448.

The previous prime is 5126166922787. The next prime is 5126166922817. The reversal of 5126166922816 is 6182296616215.

It is a happy number.

The square root of 5126166922816 is 2264104.

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

It can be written as a sum of positive squares in 4 ways, for example, as 73094529600 + 5053072393216 = 270360^2 + 2247904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5126166922817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 670170960 + ... + 670178608.

Almost surely, 25126166922816 is an apocalyptic number.

5126166922816 is the 2264104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5126166922816

5126166922816 is an abundant number, since it is smaller than the sum of its proper divisors (5329793287523).

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

5126166922816 is an frugal number, since it uses more digits than its factorization.

5126166922816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15384 (or 7688 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The spelling of 5126166922816 in words is "five trillion, one hundred twenty-six billion, one hundred sixty-six million, nine hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1369 2368 2738 5476 7649 10952 15298 21904 30596 43808 61192 87616 122384 244768 283013 489536 566026 1132052 2264104 4528208 9056416 10471481 18112832 20942962 41885924 58507201 83771848 117014402 167543696 234028804 335087392 468057608 670174784 936115216 1872230432 2164766437 3744460864 4329532874 8659065748 17318131496 34636262992 69272525984 80096358169 138545051968 160192716338 320385432676 640770865352 1281541730704 2563083461408 5126166922816