Search a number
-
+
6121428667056 = 243242509921299
BaseRepresentation
bin101100100010100000110…
…0101001100101010110000
3210200012110212222222011100
41121011001211030222300
51300243141214321211
621004051232444400
71201154465103513
oct131050145145260
923605425888140
106121428667056
111a500a099624a
1282a45a0a9700
1335532c521c91
141723c8b8ad7a
15a9374597156
hex5914194cab0

6121428667056 has 30 divisors (see below), whose sum is σ = 17131498283900. Its totient is φ = 2040476222304.

The previous prime is 6121428667043. The next prime is 6121428667069. The reversal of 6121428667056 is 6507668241216.

6121428667056 is a `hidden beast` number, since 612 + 14 + 2 + 8 + 6 + 6 + 7 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6121428667043) and next prime (6121428667069).

It is a junction number, because it is equal to n+sod(n) for n = 6121428666993 and 6121428667011.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 21254960506 + ... + 21254960793.

Almost surely, 26121428667056 is an apocalyptic number.

It is an amenable number.

6121428667056 is an abundant number, since it is smaller than the sum of its proper divisors (11010069616844).

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

6121428667056 is a wasteful number, since it uses less digits than its factorization.

6121428667056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42509921313 (or 42509921304 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6121428667056 in words is "six trillion, one hundred twenty-one billion, four hundred twenty-eight million, six hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 42509921299 85019842598 127529763897 170039685196 255059527794 340079370392 382589291691 510119055588 680158740784 765178583382 1020238111176 1530357166764 2040476222352 3060714333528 6121428667056