Search a number
-
+
55843098534976 = 26412227832
BaseRepresentation
bin11001011001001111111000…
…00011010010010001000000
321022201112210112220112221211
430230213330003102101000
524304413131211104401
6314433544301255504
714522350016452624
oct1454477403222100
9238645715815854
1055843098534976
111687aa1a329595
12631a924864594
132520c9b74a3bc
14db0b6b219184
1566c9191b4951
hex32c9fc0d2440

55843098534976 has 63 divisors (see below), whose sum is σ = 113587327457733. Its totient is φ = 27239340218880.

The previous prime is 55843098534961. The next prime is 55843098534991. The reversal of 55843098534976 is 67943589034855.

The square root of 55843098534976 is 7472824.

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

It is an interprime number because it is at equal distance from previous prime (55843098534961) and next prime (55843098534991).

It can be written as a sum of positive squares in only one way, i.e., 2690833421376 + 53152265113600 = 1640376^2 + 7290560^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 2451074881 + ... + 2451097663.

Almost surely, 255843098534976 is an apocalyptic number.

55843098534976 is the 7472824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55843098534976

55843098534976 is an abundant number, since it is smaller than the sum of its proper divisors (57744228922757).

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

55843098534976 is an frugal number, since it uses more digits than its factorization.

55843098534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45660 (or 22826 counting only the distinct ones).

The product of its (nonzero) digits is 3919104000, while the sum is 76.

The spelling of 55843098534976 in words is "fifty-five trillion, eight hundred forty-three billion, ninety-eight million, five hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1681 2624 3362 6724 13448 22783 26896 45566 53792 91132 107584 182264 364528 729056 934103 1458112 1868206 3736412 7472824 14945648 29891296 38298223 59782592 76596446 153192892 306385784 519065089 612771568 1038130178 1225543136 2076260356 2451086272 4152520712 8305041424 16610082848 21281668649 33220165696 42563337298 85126674596 170253349192 340506698384 681013396768 872548414609 1362026793536 1745096829218 3490193658436 6980387316872 13960774633744 27921549267488 55843098534976