Search a number
-
+
993259630191 = 312311973136319
BaseRepresentation
bin11100111010000101110…
…00110010111001101111
310111221202222020011100210
432131002320302321233
5112233143431131231
62040144104553503
7131521620361053
oct16350270627157
93457688204323
10993259630191
1135326a192334
12140600782893
13728829c773a
1436107191c63
151ac84b34a46
hexe742e32e6f

993259630191 has 16 divisors (see below), whose sum is σ = 1326103511040. Its totient is φ = 661294976160.

The previous prime is 993259630189. The next prime is 993259630219. The reversal of 993259630191 is 191036952399.

It is a happy number.

It is not a de Polignac number, because 993259630191 - 21 = 993259630189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993259530191) 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 15 ways as a sum of consecutive naturals, for example, 7218130 + ... + 7354448.

It is an arithmetic number, because the mean of its divisors is an integer number (82881469440).

Almost surely, 2993259630191 is an apocalyptic number.

993259630191 is a deficient number, since it is larger than the sum of its proper divisors (332843880849).

993259630191 is a wasteful number, since it uses less digits than its factorization.

993259630191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139526.

The product of its (nonzero) digits is 3542940, while the sum is 57.

The spelling of 993259630191 in words is "nine hundred ninety-three billion, two hundred fifty-nine million, six hundred thirty thousand, one hundred ninety-one".

Divisors: 1 3 1231 1973 3693 5919 136319 408957 2428763 7286289 167808689 268957387 503426067 806872161 331086543397 993259630191