Search a number
-
+
90974474106916 = 22172232121972
BaseRepresentation
bin10100101011110110100101…
…001101100111100000100100
3102221010002000112000222102211
4110223312211031213200210
543411011210332410131
6521253032455413204
725106455163643421
oct2453664515474044
9387102015028384
1090974474106916
1126a9506aa2a844
12a253567384204
133b9bb18b0010a
14186728bdaad48
15a7b6c51905b1
hex52bda5367824

90974474106916 has 81 divisors (see below), whose sum is σ = 176808525581779. Its totient is φ = 40946789517568.

The previous prime is 90974474106911. The next prime is 90974474106931. The reversal of 90974474106916 is 61960147447909.

The square root of 90974474106916 is 9538054.

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 21820613932516 + 69153860174400 = 4671254^2 + 8315880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90974474106911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7458752130 + ... + 7458764326.

Almost surely, 290974474106916 is an apocalyptic number.

90974474106916 is the 9538054-th square number.

It is an amenable number.

90974474106916 is a deficient number, since it is larger than the sum of its proper divisors (85834051474863).

90974474106916 is an equidigital number, since it uses as much as digits as its factorization.

90974474106916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24478 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 67.

The spelling of 90974474106916 in words is "ninety trillion, nine hundred seventy-four billion, four hundred seventy-four million, one hundred six thousand, nine hundred sixteen".

Divisors: 1 2 4 17 23 34 46 68 92 289 391 529 578 782 1058 1156 1564 2116 6647 8993 12197 13294 17986 24394 26588 35972 48788 152881 207349 280531 305762 414698 561062 611524 829396 1122124 3524933 4769027 6452213 7049866 9538054 12904426 14099732 19076108 25808852 81073459 109687621 148766809 162146918 219375242 297533618 324293836 438750484 595067236 1864689557 2529035753 3421636607 3729379114 5058071506 6843273214 7458758228 10116143012 13686546428 42993607801 58167822319 78697641961 85987215602 116335644638 157395283922 171974431204 232671289276 314790567844 988852979423 1337859913337 1977705958846 2675719826674 3955411917692 5351439653348 22743618526729 45487237053458 90974474106916