Search a number
-
+
990919000065 = 351731718476637
BaseRepresentation
bin11100110101101110110…
…00000000000000000001
310111201201211220211110010
432122313120000000001
5112213400231000230
62035115533055133
7131406616345401
oct16326730000001
93451654824403
10990919000065
11352278a40275
121400689274a9
137259bac7cb7
1435d64388801
151ab993d99b0
hexe6b7600001

990919000065 has 64 divisors (see below), whose sum is σ = 1685194689024. Its totient is φ = 495490265088.

The previous prime is 990919000063. The next prime is 990919000079. The reversal of 990919000065 is 560000919099.

It is a happy number.

It is not a de Polignac number, because 990919000065 - 21 = 990919000063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 990918999978 and 990919000023.

It is not an unprimeable number, because it can be changed into a prime (990919000063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149298927 + ... + 149305563.

It is an arithmetic number, because the mean of its divisors is an integer number (26331167016).

It is a Proth number, since it is equal to 472507 ⋅ 221 + 1 and 472507 < 221.

Almost surely, 2990919000065 is an apocalyptic number.

It is an amenable number.

990919000065 is a deficient number, since it is larger than the sum of its proper divisors (694275688959).

990919000065 is a wasteful number, since it uses less digits than its factorization.

990919000065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8826.

The product of its (nonzero) digits is 196830, while the sum is 48.

The spelling of 990919000065 in words is "nine hundred ninety billion, nine hundred nineteen million, sixty-five", and thus it is an aban number.

Divisors: 1 3 5 15 17 51 85 255 317 951 1585 1847 4755 5389 5541 6637 9235 16167 19911 26945 27705 31399 33185 80835 94197 99555 112829 156995 338487 470985 564145 585499 1692435 1756497 2103929 2927495 6311787 8782485 9953483 10519645 12258539 29860449 31558935 35766793 36775617 49767415 61292695 107300379 149302245 178833965 183878085 208395163 536501895 625185489 1041975815 3125927445 3885956863 11657870589 19429784315 58289352945 66061266671 198183800013 330306333355 990919000065