Search a number
-
+
996810414911 = 231391579192161
BaseRepresentation
bin11101000000101101000…
…01111101101100111111
310112021221102122201021222
432200112201331230333
5112312431431234121
62041532310343555
7132005614504103
oct16402641755477
93467842581258
10996810414911
11354821546463
1214123195abbb
1372cca53569c
14363629ad903
151ade17240ab
hexe81687db3f

996810414911 has 32 divisors (see below), whose sum is σ = 1055941555200. Its totient is φ = 939123694080.

The previous prime is 996810414889. The next prime is 996810414989. The reversal of 996810414911 is 119414018699.

It is a happy number.

It is not a de Polignac number, because 996810414911 - 226 = 996743306047 is a prime.

It is a super-2 number, since 2×9968104149112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996810414311) 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 31 ways as a sum of consecutive naturals, for example, 461271671 + ... + 461273831.

It is an arithmetic number, because the mean of its divisors is an integer number (32998173600).

Almost surely, 2996810414911 is an apocalyptic number.

996810414911 is a deficient number, since it is larger than the sum of its proper divisors (59131140289).

996810414911 is a wasteful number, since it uses less digits than its factorization.

996810414911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399.

The product of its (nonzero) digits is 559872, while the sum is 53.

The spelling of 996810414911 in words is "nine hundred ninety-six billion, eight hundred ten million, four hundred fourteen thousand, nine hundred eleven".

Divisors: 1 23 139 157 919 2161 3197 3611 21137 21823 49703 127741 144283 300379 339277 501929 1985959 2938043 3318509 6908717 7803371 20055337 45677057 47159503 276048301 311795563 461272751 1084668569 6349110923 7171297949 43339583257 996810414911