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11879242970 = 257224243353
BaseRepresentation
bin10110001000000111…
…01101110011011010
31010122212220001211212
423010003231303122
5143312041233340
65242433223122
7600243620300
oct130403556332
933585801755
1011879242970
115046583081
122376401aa2
13117413416a
14809986270
15497d6aa65
hex2c40edcda

11879242970 has 24 divisors (see below), whose sum is σ = 24873681204. Its totient is φ = 4072883136.

The previous prime is 11879242891. The next prime is 11879242979. The reversal of 11879242970 is 7924297811.

11879242970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11816342209 + 62900761 = 108703^2 + 7931^2 .

It is a super-2 number, since 2×118792429702 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11879242979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12121187 + ... + 12122166.

Almost surely, 211879242970 is an apocalyptic number.

11879242970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11879242970 is an abundant number, since it is smaller than the sum of its proper divisors (12994438234).

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

11879242970 is a wasteful number, since it uses less digits than its factorization.

11879242970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24243374 (or 24243367 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 50.

The spelling of 11879242970 in words is "eleven billion, eight hundred seventy-nine million, two hundred forty-two thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 24243353 48486706 121216765 169703471 242433530 339406942 848517355 1187924297 1697034710 2375848594 5939621485 11879242970